100213112313 has 12 divisors (see below), whose sum is σ = 147832109568. Its totient is φ = 65387278680.

The previous prime is 100213112309. The next prime is 100213112347. The reversal of 100213112313 is 313211312001.

100213112313 is a `hidden beast` number, since 100 + 21 + 311 + 231 + 3 = 666.

It is not a de Polignac number, because 100213112313 - 2² = 100213112309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100213112383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118454793 + ... + 118455638.

It is an arithmetic number, because the mean of its divisors is an integer number (12319342464).

Almost surely, 2^100213112313 is an apocalyptic number.

It is an amenable number.

100213112313 is a deficient number, since it is larger than the sum of its proper divisors (47618997255).

100213112313 is a wasteful number, since it uses less digits than its factorization.

100213112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236910484 (or 236910481 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100213112313 its reverse (313211312001), we get a palindrome (413424424314).

The spelling of 100213112313 in words is "one hundred billion, two hundred thirteen million, one hundred twelve thousand, three hundred thirteen".