3131334971136 has 216 divisors, whose sum is σ = 9530559576720. Its totient is φ = 986036502528.

The previous prime is 3131334971113. The next prime is 3131334971143. The reversal of 3131334971136 is 6311794331313.

3131334971136 is a `hidden beast` number, since 3 + 13 + 1 + 33 + 497 + 113 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3131334971091 and 3131334971100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15351610 + ... + 15554246.

Almost surely, 2^{3131334971136} is an apocalyptic number.

3131334971136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131334971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765279788360).

3131334971136 is an abundant number, since it is smaller than the sum of its proper divisors (6399224605584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3131334971136 is a wasteful number, since it uses less digits than its factorization.

3131334971136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203031 (or 203014 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The spelling of 3131334971136 in words is "three trillion, one hundred thirty-one billion, three hundred thirty-four million, nine hundred seventy-one thousand, one hundred thirty-six".