131002665407640 has 384 divisors, whose sum is σ = 466997017032000. Its totient is φ = 31655087456256.

The previous prime is 131002665407629. The next prime is 131002665407641. The reversal of 131002665407640 is 46704566200131.

131002665407640 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 2 + 66 + 540 + 7 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002665407641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56764924 + ... + 59027636.

Almost surely, 2^{131002665407640} is an apocalyptic number.

131002665407640 is a gapful number since it is divisible by the number (10) 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 131002665407640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233498508516000).

131002665407640 is an abundant number, since it is smaller than the sum of its proper divisors (335994351624360).

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

131002665407640 is a wasteful number, since it uses less digits than its factorization.

131002665407640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262971 (or 2262964 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 131002665407640 in words is "one hundred thirty-one trillion, two billion, six hundred sixty-five million, four hundred seven thousand, six hundred forty".