131356466001000 has 96 divisors (see below), whose sum is σ = 443984855113800. Its totient is φ = 35028390931200.

The previous prime is 131356466000989. The next prime is 131356466001041. The reversal of 131356466001000 is 100664653131.

131356466001000 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 6 + 46 + 600 + 1 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66565332102564 + 64791133898436 = 8158758^2 + 8049294^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7297572445 + ... + 7297590444.

Almost surely, 2^{131356466001000} is an apocalyptic number.

131356466001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131356466001000 is an abundant number, since it is smaller than the sum of its proper divisors (312628389112800).

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

131356466001000 is a wasteful number, since it uses less digits than its factorization.

131356466001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14595162916 (or 14595162899 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 131356466001000 in words is "one hundred thirty-one trillion, three hundred fifty-six billion, four hundred sixty-six million, one thousand".