100232120313 has 12 divisors (see below), whose sum is σ = 155916631780. Its totient is φ = 61681304736.

The previous prime is 100232120267. The next prime is 100232120321. The reversal of 100232120313 is 313021232001.

100232120313 is a `hidden beast` number, since 1 + 0 + 0 + 232 + 120 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4530366864 + 95701753449 = 67308^2 + 309357^2 .

It is not a de Polignac number, because 100232120313 - 2²¹ = 100230023161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100232120113) 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, 428342278 + ... + 428342511.

Almost surely, 2^100232120313 is an apocalyptic number.

100232120313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100232120313 is a deficient number, since it is larger than the sum of its proper divisors (55684511467).

100232120313 is a wasteful number, since it uses less digits than its factorization.

100232120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856684808 (or 856684805 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100232120313 its reverse (313021232001), we get a palindrome (413253352314).

The spelling of 100232120313 in words is "one hundred billion, two hundred thirty-two million, one hundred twenty thousand, three hundred thirteen".