311321000123113 has 16 divisors (see below), whose sum is σ = 322170945642000. Its totient is φ = 300478719557632.

The previous prime is 311321000122987. The next prime is 311321000123143.

311321000123113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 120059070379609 + 191261929743504 = 10957147^2 + 13829748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311321000123113 is a prime.

It is a super-2 number, since 2×311321000123113² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311321000123143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1168625193 + ... + 1168891561.

It is an arithmetic number, because the mean of its divisors is an integer number (20135684102625).

Almost surely, 2^{311321000123113} is an apocalyptic number.

It is an amenable number.

311321000123113 is a deficient number, since it is larger than the sum of its proper divisors (10849945518887).

311321000123113 is a wasteful number, since it uses less digits than its factorization.

311321000123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280604.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 311321000 and 123113, that added together give a palindrome (311444113).

The spelling of 311321000123113 in words is "three hundred eleven trillion, three hundred twenty-one billion, one hundred twenty-three thousand, one hundred thirteen".