131333555040072 has 128 divisors (see below), whose sum is σ = 409383120384000. Its totient is φ = 34109963366400.

The previous prime is 131333555040071. The next prime is 131333555040073. The reversal of 131333555040072 is 270040555333131.

It is an interprime number because it is at equal distance from previous prime (131333555040071) and next prime (131333555040073).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (131333555040071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21107304 + ... + 26611752.

It is an arithmetic number, because the mean of its divisors is an integer number (3198305628000).

Almost surely, 2^{131333555040072} is an apocalyptic number.

131333555040072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131333555040072 is an abundant number, since it is smaller than the sum of its proper divisors (278049565343928).

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

131333555040072 is a wasteful number, since it uses less digits than its factorization.

131333555040072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517387 (or 5517383 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 42.

The spelling of 131333555040072 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, five hundred fifty-five million, forty thousand, seventy-two".