3131113010040 has 128 divisors (see below), whose sum is σ = 10584044236800. Its totient is φ = 823203400320.

The previous prime is 3131113010023. The next prime is 3131113010057. The reversal of 3131113010040 is 400103111313.

3131113010040 is a `hidden beast` number, since 313 + 1 + 11 + 301 + 0 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3131113010023) and next prime (3131113010057).

It is a super-3 number, since 3×3131113010040³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3131113009995 and 3131113010022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20340072 + ... + 20493431.

It is an arithmetic number, because the mean of its divisors is an integer number (82687845600).

Almost surely, 2^{3131113010040} is an apocalyptic number.

3131113010040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131113010040 is an abundant number, since it is smaller than the sum of its proper divisors (7452931226760).

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

3131113010040 is a wasteful number, since it uses less digits than its factorization.

3131113010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40833594 (or 40833584 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3131113010040 its reverse (400103111313), we get a palindrome (3531216121353).

The spelling of 3131113010040 in words is "three trillion, one hundred thirty-one billion, one hundred thirteen million, ten thousand, forty".