131102737920 has 2880 divisors, whose sum is σ = 660188745216. Its totient is φ = 24524881920.

The previous prime is 131102737901. The next prime is 131102737933. The reversal of 131102737920 is 29737201131.

It is a happy number.

131102737920 is a `hidden beast` number, since 1 + 311 + 0 + 273 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5700119029 + ... + 5700119051.

Almost surely, 2^131102737920 is an apocalyptic number.

131102737920 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 131102737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330094372608).

131102737920 is an abundant number, since it is smaller than the sum of its proper divisors (529086007296).

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

131102737920 is a wasteful number, since it uses less digits than its factorization.

131102737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 131102737920 in words is "one hundred thirty-one billion, one hundred two million, seven hundred thirty-seven thousand, nine hundred twenty".