311251152113 has 16 divisors (see below), whose sum is σ = 343051051200. Its totient is φ = 280041209280.

The previous prime is 311251152103. The next prime is 311251152119.

It is a happy number.

311251152113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311251152113 - 2¹² = 311251148017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311251152119) 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, 911723 + ... + 1205711.

It is an arithmetic number, because the mean of its divisors is an integer number (21440690700).

Almost surely, 2^311251152113 is an apocalyptic number.

It is an amenable number.

311251152113 is a deficient number, since it is larger than the sum of its proper divisors (31799899087).

311251152113 is a wasteful number, since it uses less digits than its factorization.

311251152113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294992.

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

It can be divided in two parts, 311251 and 152113, that added together give a palindrome (463364).

The spelling of 311251152113 in words is "three hundred eleven billion, two hundred fifty-one million, one hundred fifty-two thousand, one hundred thirteen".