131074085016 has 96 divisors (see below), whose sum is σ = 405946944000. Its totient is φ = 37427451840.

The previous prime is 131074085011. The next prime is 131074085029. The reversal of 131074085016 is 610580470131.

131074085016 is a `hidden beast` number, since 1 + 3 + 107 + 40 + 8 + 501 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131074085011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779761 + ... + 932831.

It is an arithmetic number, because the mean of its divisors is an integer number (4228614000).

Almost surely, 2^131074085016 is an apocalyptic number.

It is an amenable number.

131074085016 is an abundant number, since it is smaller than the sum of its proper divisors (274872858984).

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

131074085016 is a wasteful number, since it uses less digits than its factorization.

131074085016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154789 (or 154782 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 131074085016 in words is "one hundred thirty-one billion, seventy-four million, eighty-five thousand, sixteen".