131030731777572 has 288 divisors, whose sum is σ = 374722052234880. Its totient is φ = 39565805875200.

The previous prime is 131030731777499. The next prime is 131030731777609. The reversal of 131030731777572 is 275777137030131.

131030731777572 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 30 + 7 + 31 + 7 + 7 + 7 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7062499848 + ... + 7062518400.

Almost surely, 2^{131030731777572} is an apocalyptic number.

131030731777572 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 131030731777572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187361026117440).

131030731777572 is an abundant number, since it is smaller than the sum of its proper divisors (243691320457308).

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

131030731777572 is a wasteful number, since it uses less digits than its factorization.

131030731777572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20472 (or 20453 counting only the distinct ones).

The product of its (nonzero) digits is 4537890, while the sum is 54.

The spelling of 131030731777572 in words is "one hundred thirty-one trillion, thirty billion, seven hundred thirty-one million, seven hundred seventy-seven thousand, five hundred seventy-two".