131131152240000 has 1280 divisors, whose sum is σ = 490721845743360. Its totient is φ = 30739968000000.

The previous prime is 131131152239999. The next prime is 131131152240091. The reversal of 131131152240000 is 42251131131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11465514282 + ... + 11465525718.

It is an arithmetic number, because the mean of its divisors is an integer number (383376441987).

Almost surely, 2^{131131152240000} is an apocalyptic number.

131131152240000 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 131131152240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245360922871680).

131131152240000 is an abundant number, since it is smaller than the sum of its proper divisors (359590693503360).

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

131131152240000 is a wasteful number, since it uses less digits than its factorization.

131131152240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11602 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 131131152240000 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, one hundred fifty-two million, two hundred forty thousand".