131107935920 has 320 divisors, whose sum is σ = 367446481920. Its totient is φ = 43031678976.

The previous prime is 131107935919. The next prime is 131107935923. The reversal of 131107935920 is 29539701131.

It is a super-2 number, since 2×131107935920² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131107935923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24084719 + ... + 24090161.

It is an arithmetic number, because the mean of its divisors is an integer number (1148270256).

Almost surely, 2^131107935920 is an apocalyptic number.

131107935920 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 131107935920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183723240960).

131107935920 is an abundant number, since it is smaller than the sum of its proper divisors (236338546000).

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

131107935920 is a wasteful number, since it uses less digits than its factorization.

131107935920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 41.

The spelling of 131107935920 in words is "one hundred thirty-one billion, one hundred seven million, nine hundred thirty-five thousand, nine hundred twenty".