311210012113 has 48 divisors (see below), whose sum is σ = 433335220416. Its totient is φ = 219623564160.

The previous prime is 311210012089. The next prime is 311210012129.

It is a happy number.

311210012113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311210012113 - 2⁹ = 311210011601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311210012413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47631 + ... + 790372.

It is an arithmetic number, because the mean of its divisors is an integer number (9027817092).

Almost surely, 2^311210012113 is an apocalyptic number.

It is an amenable number.

311210012113 is a deficient number, since it is larger than the sum of its proper divisors (122125208303).

311210012113 is a wasteful number, since it uses less digits than its factorization.

311210012113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838094 (or 838087 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 3112100 and 12113, that added together give a palindrome (3124213).

The spelling of 311210012113 in words is "three hundred eleven billion, two hundred ten million, twelve thousand, one hundred thirteen".