311125521113 has 16 divisors (see below), whose sum is σ = 357312200640. Its totient is φ = 267925838400.

The previous prime is 311125521089. The next prime is 311125521121.

It is a happy number.

311125521113 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-311125521113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311125521173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968131 + ... + 2120327.

It is an arithmetic number, because the mean of its divisors is an integer number (22332012540).

Almost surely, 2^311125521113 is an apocalyptic number.

It is an amenable number.

311125521113 is a deficient number, since it is larger than the sum of its proper divisors (46186679527).

311125521113 is a wasteful number, since it uses less digits than its factorization.

311125521113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162008.

The product of its digits is 900, while the sum is 26.

It can be divided in two parts, 311125 and 521113, that added together give a palindrome (832238).

The spelling of 311125521113 in words is "three hundred eleven billion, one hundred twenty-five million, five hundred twenty-one thousand, one hundred thirteen".