11331313313031 has 80 divisors (see below), whose sum is σ = 18410457843360. Its totient is φ = 6916434739200.

The previous prime is 11331313313027. The next prime is 11331313313077. The reversal of 11331313313031 is 13031331313311.

11331313313031 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 313 + 313 + 0 + 31 = 666.

11331313313031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11331313313031 - 2² = 11331313313027 is a prime.

It is a super-2 number, since 2×11331313313031² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11331313312986 and 11331313313004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331313315031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 337214631 + ... + 337248231.

It is an arithmetic number, because the mean of its divisors is an integer number (230130723042).

Almost surely, 2^{11331313313031} is an apocalyptic number.

11331313313031 is a deficient number, since it is larger than the sum of its proper divisors (7079144530329).

11331313313031 is a wasteful number, since it uses less digits than its factorization.

11331313313031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40286 (or 40277 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 11331313313031 its reverse (13031331313311), we get a palindrome (24362644626342).

The spelling of 11331313313031 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirteen million, three hundred thirteen thousand, thirty-one".