313100003131 has 16 divisors (see below), whose sum is σ = 345600062208. Its totient is φ = 282352896000.

The previous prime is 313100003123. The next prime is 313100003173. The reversal of 313100003131 is 131300001313.

It is a cyclic number.

It is not a de Polignac number, because 313100003131 - 2³ = 313100003123 is a prime.

It is a super-2 number, since 2×313100003131² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313100003101) 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, 2887950 + ... + 2994403.

It is an arithmetic number, because the mean of its divisors is an integer number (21600003888).

Almost surely, 2^313100003131 is an apocalyptic number.

313100003131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

313100003131 is a deficient number, since it is larger than the sum of its proper divisors (32500059077).

313100003131 is a wasteful number, since it uses less digits than its factorization.

313100003131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882502.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 313100003131 its reverse (131300001313), we get a palindrome (444400004444).

It can be divided in two parts, 31310000 and 3131, that multiplied together give a square (98031610000 = 313100²).

The spelling of 313100003131 in words is "three hundred thirteen billion, one hundred million, three thousand, one hundred thirty-one".