131118039360 has 2688 divisors, whose sum is σ = 653803315200. Its totient is φ = 24086937600.

The previous prime is 131118039323. The next prime is 131118039361. The reversal of 131118039360 is 63930811131.

131118039360 is a `hidden beast` number, since 1 + 31 + 1 + 180 + 393 + 60 = 666.

It is a super-2 number, since 2×131118039360² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131118039361) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3198000940 + ... + 3198000980.

It is an arithmetic number, because the mean of its divisors is an integer number (243230400).

Almost surely, 2^131118039360 is an apocalyptic number.

131118039360 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 131118039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326901657600).

131118039360 is an abundant number, since it is smaller than the sum of its proper divisors (522685275840).

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

131118039360 is a wasteful number, since it uses less digits than its factorization.

131118039360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 131118039360 in words is "one hundred thirty-one billion, one hundred eighteen million, thirty-nine thousand, three hundred sixty".