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13313013233 = 131922836781
BaseRepresentation
bin11000110011000010…
…00111010111110001
31021100210210010220012
430121201013113301
5204231112410413
610041012024305
7650623513442
oct143141072761
937323703805
1013313013233
115711937983
1226b6602095
1313421a7a30
149041692c9
1552db817a8
hex3198475f1

13313013233 has 12 divisors (see below), whose sum is σ = 15131395188. Its totient is φ = 11642145120.

The previous prime is 13313013211. The next prime is 13313013251. The reversal of 13313013233 is 33231031331.

13313013233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4007902864 + 9305110369 = 63308^2 + 96463^2 .

It is not a de Polignac number, because 13313013233 - 220 = 13311964657 is a prime.

It is a super-2 number, since 2×133130132332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13313013199 and 13313013208.

It is not an unprimeable number, because it can be changed into a prime (13313013533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413698 + ... + 1423083.

It is an arithmetic number, because the mean of its divisors is an integer number (1260949599).

Almost surely, 213313013233 is an apocalyptic number.

13313013233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13313013233 is a deficient number, since it is larger than the sum of its proper divisors (1818381955).

13313013233 is a wasteful number, since it uses less digits than its factorization.

13313013233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836832 (or 2836813 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13313013233 its reverse (33231031331), we get a palindrome (46544044564).

The spelling of 13313013233 in words is "thirteen billion, three hundred thirteen million, thirteen thousand, two hundred thirty-three".

Divisors: 1 13 19 247 361 4693 2836781 36878153 53898839 700684907 1024077941 13313013233