131113220013000 has 384 divisors, whose sum is σ = 452722421099520. Its totient is φ = 34209735436800.

The previous prime is 131113220012989. The next prime is 131113220013107. The reversal of 131113220013000 is 310022311131.

131113220013000 is a `hidden beast` number, since 1 + 31 + 1 + 132 + 200 + 1 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1525718034 + ... + 1525803966.

It is an arithmetic number, because the mean of its divisors is an integer number (1178964638280).

Almost surely, 2^{131113220013000} is an apocalyptic number.

131113220013000 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 131113220013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226361210549760).

131113220013000 is an abundant number, since it is smaller than the sum of its proper divisors (321609201086520).

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

131113220013000 is a wasteful number, since it uses less digits than its factorization.

131113220013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89614 (or 89597 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131113220013000 its reverse (310022311131), we get a palindrome (131423242324131).

The spelling of 131113220013000 in words is "one hundred thirty-one trillion, one hundred thirteen billion, two hundred twenty million, thirteen thousand".