311315202513113 has 4 divisors (see below), whose sum is σ = 311317314431760. Its totient is φ = 311313090594468.

The previous prime is 311315202513013. The next prime is 311315202513149.

It is a happy number.

311315202513113 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 311315202513113 - 2³² = 311310907545817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 311315202513113.

It is not an unprimeable number, because it can be changed into a prime (311315202513173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1055738195 + ... + 1056033032.

It is an arithmetic number, because the mean of its divisors is an integer number (77829328607940).

Almost surely, 2^{311315202513113} is an apocalyptic number.

It is an amenable number.

311315202513113 is a deficient number, since it is larger than the sum of its proper divisors (2111918647).

311315202513113 is a wasteful number, since it uses less digits than its factorization.

311315202513113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111918646.

The product of its (nonzero) digits is 8100, while the sum is 32.

It can be divided in two parts, 31131520 and 2513113, that added together give a palindrome (33644633).

The spelling of 311315202513113 in words is "three hundred eleven trillion, three hundred fifteen billion, two hundred two million, five hundred thirteen thousand, one hundred thirteen".