131333556501672 has 256 divisors, whose sum is σ = 382191179673600. Its totient is φ = 36833483151360.

The previous prime is 131333556501619. The next prime is 131333556501673. The reversal of 131333556501672 is 276105655333131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131333556501673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4148626068 + ... + 4148657724.

It is an arithmetic number, because the mean of its divisors is an integer number (1492934295600).

Almost surely, 2^{131333556501672} is an apocalyptic number.

131333556501672 is a gapful number since it is divisible by the number (12) 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 131333556501672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191095589836800).

131333556501672 is an abundant number, since it is smaller than the sum of its proper divisors (250857623171928).

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

131333556501672 is a wasteful number, since it uses less digits than its factorization.

131333556501672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33256 (or 33252 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 51.

The spelling of 131333556501672 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, five hundred fifty-six million, five hundred one thousand, six hundred seventy-two".