6131016131040 has 96 divisors (see below), whose sum is σ = 21458556473760. Its totient is φ = 1634937633792.

The previous prime is 6131016131029. The next prime is 6131016131059. The reversal of 6131016131040 is 401316101316.

6131016131040 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 0 + 1 + 613 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 6131016130995 and 6131016131013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709604029 + ... + 709612668.

It is an arithmetic number, because the mean of its divisors is an integer number (223526629935).

Almost surely, 2^{6131016131040} is an apocalyptic number.

6131016131040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6131016131040 is an abundant number, since it is smaller than the sum of its proper divisors (15327540342720).

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

6131016131040 is a wasteful number, since it uses less digits than its factorization.

6131016131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419216721 (or 1419216707 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 6131016131040 in words is "six trillion, one hundred thirty-one billion, sixteen million, one hundred thirty-one thousand, forty".