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213123132131 = 71310132311957
BaseRepresentation
bin1100011001111100100…
…0001110101011100011
3202101002220202212111012
43012133020032223203
511442434010212011
6241524000211135
721253250506310
oct3063710165343
9671086685435
10213123132131
11824264a7648
123537a609aab
1317136073610
14a45ad3dd07
1558255e9a8b
hex319f20eae3

213123132131 has 16 divisors (see below), whose sum is σ = 262564446144. Its totient is φ = 168458361984.

The previous prime is 213123132091. The next prime is 213123132133. The reversal of 213123132131 is 131231321312.

It is a cyclic number.

It is not a de Polignac number, because 213123132131 - 26 = 213123132067 is a prime.

It is a super-2 number, since 2×2131231321312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213123132097 and 213123132106.

It is not an unprimeable number, because it can be changed into a prime (213123132133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063796 + ... + 1248161.

It is an arithmetic number, because the mean of its divisors is an integer number (16410277884).

Almost surely, 2213123132131 is an apocalyptic number.

213123132131 is a deficient number, since it is larger than the sum of its proper divisors (49441314013).

213123132131 is a wasteful number, since it uses less digits than its factorization.

213123132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312990.

The product of its digits is 648, while the sum is 23.

Adding to 213123132131 its reverse (131231321312), we get a palindrome (344354453443).

It can be divided in two parts, 2 and 13123132131, that multiplied together give a palindrome (26246264262).

The spelling of 213123132131 in words is "two hundred thirteen billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 13 91 1013 7091 13169 92183 2311957 16183699 30055441 210388087 2342012441 16394087087 30446161733 213123132131