131051127960000 has 1400 divisors, whose sum is σ = 516728226237696. Its totient is φ = 32716431360000.

The previous prime is 131051127959993. The next prime is 131051127960023. The reversal of 131051127960000 is 69721150131.

It is a happy number.

131051127960000 is a `hidden beast` number, since 1 + 3 + 10 + 5 + 11 + 27 + 9 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 10520273772 + ... + 10520286228.

Almost surely, 2^{131051127960000} is an apocalyptic number.

131051127960000 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 131051127960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258364113118848).

131051127960000 is an abundant number, since it is smaller than the sum of its proper divisors (385677098277696).

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

131051127960000 is a wasteful number, since it uses less digits than its factorization.

131051127960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 131051127960000 in words is "one hundred thirty-one trillion, fifty-one billion, one hundred twenty-seven million, nine hundred sixty thousand".