131903382633120 has 576 divisors, whose sum is σ = 543262176737280. Its totient is φ = 28469486721024.

The previous prime is 131903382633073. The next prime is 131903382633163. The reversal of 131903382633120 is 21336283309131.

131903382633120 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 0 + 3 + 3 + 8 + 2 + 633 + 1 + 2 + 0 = 666.

131903382633120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 57674949 + ... + 59918331.

It is an arithmetic number, because the mean of its divisors is an integer number (943163501280).

Almost surely, 2^{131903382633120} is an apocalyptic number.

131903382633120 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 131903382633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271631088368640).

131903382633120 is an abundant number, since it is smaller than the sum of its proper divisors (411358794104160).

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

131903382633120 is a wasteful number, since it uses less digits than its factorization.

131903382633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243737 (or 2243726 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 131903382633120 in words is "one hundred thirty-one trillion, nine hundred three billion, three hundred eighty-two million, six hundred thirty-three thousand, one hundred twenty".