311352253113 has 96 divisors (see below), whose sum is σ = 472405248000. Its totient is φ = 180874944000.

The previous prime is 311352253057. The next prime is 311352253141.

311352253113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311352253113 - 2¹⁶ = 311352187577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311352251113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1148901168 + ... + 1148901438.

It is an arithmetic number, because the mean of its divisors is an integer number (4920888000).

Almost surely, 2^311352253113 is an apocalyptic number.

311352253113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311352253113 is a deficient number, since it is larger than the sum of its proper divisors (161052994887).

311352253113 is a wasteful number, since it uses less digits than its factorization.

311352253113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 614 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 311352 and 253113, that added together give a palindrome (564465).

The spelling of 311352253113 in words is "three hundred eleven billion, three hundred fifty-two million, two hundred fifty-three thousand, one hundred thirteen".