232205231324313 has 12 divisors (see below), whose sum is σ = 361208137615780. Its totient is φ = 142895526968736.

The previous prime is 232205231324309. The next prime is 232205231324317. The reversal of 232205231324313 is 313423132502232.

232205231324313 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 0 + 5 + 2 + 313 + 24 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (232205231324309) and next prime (232205231324317).

It can be written as a sum of positive squares in 2 ways, for example, as 84853721945664 + 147351509378649 = 9211608^2 + 12138843^2 .

It is not a de Polignac number, because 232205231324313 - 2² = 232205231324309 is a prime.

It is a super-2 number, since 2×232205231324313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232205231324317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992330048278 + ... + 992330048511.

Almost surely, 2^{232205231324313} is an apocalyptic number.

It is an amenable number.

232205231324313 is a deficient number, since it is larger than the sum of its proper divisors (129002906291467).

232205231324313 is a wasteful number, since it uses less digits than its factorization.

232205231324313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984660096808 (or 1984660096805 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 232205231324313 its reverse (313423132502232), we get a palindrome (545628363826545).

The spelling of 232205231324313 in words is "two hundred thirty-two trillion, two hundred five billion, two hundred thirty-one million, three hundred twenty-four thousand, three hundred thirteen".