312011100113 has 16 divisors (see below), whose sum is σ = 320420041920. Its totient is φ = 303749784000.

The previous prime is 312011100103. The next prime is 312011100179. The reversal of 312011100113 is 311001110213.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 312011100113 - 2¹² = 312011096017 is a prime.

It is a super-2 number, since 2×312011100113² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312011100103) 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, 1334006 + ... + 1550352.

It is an arithmetic number, because the mean of its divisors is an integer number (20026252620).

Almost surely, 2^312011100113 is an apocalyptic number.

It is an amenable number.

312011100113 is a deficient number, since it is larger than the sum of its proper divisors (8408941807).

312011100113 is a wasteful number, since it uses less digits than its factorization.

312011100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216688.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 312011100113 its reverse (311001110213), we get a palindrome (623012210326).

The spelling of 312011100113 in words is "three hundred twelve billion, eleven million, one hundred thousand, one hundred thirteen".