131118114900 has 144 divisors (see below), whose sum is σ = 383122353600. Its totient is φ = 34619504640.

The previous prime is 131118114899. The next prime is 131118114931. The reversal of 131118114900 is 9411811131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54882906 + ... + 54885294.

It is an arithmetic number, because the mean of its divisors is an integer number (2660571900).

Almost surely, 2^131118114900 is an apocalyptic number.

131118114900 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 131118114900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191561176800).

131118114900 is an abundant number, since it is smaller than the sum of its proper divisors (252004238700).

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

131118114900 is a wasteful number, since it uses less digits than its factorization.

131118114900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 30.

The spelling of 131118114900 in words is "one hundred thirty-one billion, one hundred eighteen million, one hundred fourteen thousand, nine hundred".