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13330001331 = 3342110691097
BaseRepresentation
bin11000110101000011…
…11010110110110011
31021101222202020012000
430122201322312303
5204244440020311
610042420105043
7651221066433
oct143241726663
937358666160
1013330001331
115720490329
122700235183
13134587526a
1490650c2c3
155303da056
hex31a87adb3

13330001331 has 32 divisors (see below), whose sum is σ = 19831636800. Its totient is φ = 8849191680.

The previous prime is 13330001329. The next prime is 13330001383. The reversal of 13330001331 is 13310003331.

13330001331 is a `hidden beast` number, since 1 + 3 + 330 + 0 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 13330001331 - 21 = 13330001329 is a prime.

It is a super-2 number, since 2×133300013312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13330001131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12150775 + ... + 12151871.

It is an arithmetic number, because the mean of its divisors is an integer number (619738650).

Almost surely, 213330001331 is an apocalyptic number.

13330001331 is a deficient number, since it is larger than the sum of its proper divisors (6501635469).

13330001331 is a wasteful number, since it uses less digits than its factorization.

13330001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13330001331 its reverse (13310003331), we get a palindrome (26640004662).

It can be divided in two parts, 1333000 and 1331, that added together give a palindrome (1334331).

The spelling of 13330001331 in words is "thirteen billion, three hundred thirty million, one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 421 1069 1097 1263 3207 3291 3789 9621 9873 11367 28863 29619 450049 461837 1172693 1350147 1385511 3518079 4050441 4156533 10554237 12151323 12469599 31662711 493703753 1481111259 4443333777 13330001331