311311202113113 has 8 divisors (see below), whose sum is σ = 415081684430400. Its totient is φ = 207540760602288.

The previous prime is 311311202113091. The next prime is 311311202113169.

311311202113113 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 311311202113113 - 2⁵ = 311311202113081 is a prime.

It is a super-2 number, since 2×311311202113113² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311311202113193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23578948 + ... + 34330586.

It is an arithmetic number, because the mean of its divisors is an integer number (51885210553800).

Almost surely, 2^{311311202113113} is an apocalyptic number.

It is an amenable number.

311311202113113 is a deficient number, since it is larger than the sum of its proper divisors (103770482317287).

311311202113113 is a wasteful number, since it uses less digits than its factorization.

311311202113113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20403231.

The product of its (nonzero) digits is 324, while the sum is 24.

It can be divided in two parts, 31131120 and 2113113, that added together give a palindrome (33244233).

The spelling of 311311202113113 in words is "three hundred eleven trillion, three hundred eleven billion, two hundred two million, one hundred thirteen thousand, one hundred thirteen".