131104604961600 has 672 divisors, whose sum is σ = 454514129710080. Its totient is φ = 32993849180160.

The previous prime is 131104604961569. The next prime is 131104604961613. The reversal of 131104604961600 is 6169406401131.

It is a congruent number.

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, 52378985949 + ... + 52378988451.

Almost surely, 2^{131104604961600} is an apocalyptic number.

131104604961600 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 131104604961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227257064855040).

131104604961600 is an abundant number, since it is smaller than the sum of its proper divisors (323409524748480).

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

131104604961600 is a wasteful number, since it uses less digits than its factorization.

131104604961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 131104604961600 in words is "one hundred thirty-one trillion, one hundred four billion, six hundred four million, nine hundred sixty-one thousand, six hundred".