131213013120000 has 660 divisors, whose sum is σ = 541076577646176. Its totient is φ = 29991536640000.

The previous prime is 131213013119989. The next prime is 131213013120113. The reversal of 131213013120000 is 21310312131.

131213013120000 is a `hidden beast` number, since 1 + 31 + 21 + 301 + 312 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38692855 + ... + 41947145.

Almost surely, 2^{131213013120000} is an apocalyptic number.

131213013120000 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 131213013120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270538288823088).

131213013120000 is an abundant number, since it is smaller than the sum of its proper divisors (409863564526176).

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

131213013120000 is an equidigital number, since it uses as much as digits as its factorization.

131213013120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254344 (or 3254308 counting only the distinct ones).

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

Adding to 131213013120000 its reverse (21310312131), we get a palindrome (131234323432131).

The spelling of 131213013120000 in words is "one hundred thirty-one trillion, two hundred thirteen billion, thirteen million, one hundred twenty thousand".