131413402131000 has 512 divisors, whose sum is σ = 471100244659200. Its totient is φ = 30163403520000.

The previous prime is 131413402130977. The next prime is 131413402131017. The reversal of 131413402131000 is 131204314131.

It is a happy number.

It is a super-2 number, since 2×131413402131000² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1086530530 + ... + 1086651470.

It is an arithmetic number, because the mean of its divisors is an integer number (920117665350).

Almost surely, 2^{131413402131000} is an apocalyptic number.

131413402131000 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 131413402131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235550122329600).

131413402131000 is an abundant number, since it is smaller than the sum of its proper divisors (339686842528200).

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

131413402131000 is a wasteful number, since it uses less digits than its factorization.

131413402131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122728 (or 122714 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131413402131000 its reverse (131204314131), we get a palindrome (131544606445131).

The spelling of 131413402131000 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred two million, one hundred thirty-one thousand".