3131111313 has 36 divisors (see below), whose sum is σ = 4979934960. Its totient is φ = 1894329360.

The previous prime is 3131111293. The next prime is 3131111341.

3131111313 is a `hidden beast` number, since 31 + 311 + 11 + 313 = 666.

3131111313 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-3131111313 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3131113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 715470 + ... + 719832.

Almost surely, 2^3131111313 is an apocalyptic number.

3131111313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3131111313 is a deficient number, since it is larger than the sum of its proper divisors (1848823647).

3131111313 is a wasteful number, since it uses less digits than its factorization.

3131111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5036 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 3131111313 is about 55956.3339846348. Note that the first 3 decimals coincide. The cubic root of 3131111313 is about 1462.9612931889.

It can be divided in two parts, 31311 and 11313, that added together give a palindrome (42624).

The spelling of 3131111313 in words is "three billion, one hundred thirty-one million, one hundred eleven thousand, three hundred thirteen".