131413132627740 has 576 divisors, whose sum is σ = 438623419852800. Its totient is φ = 31720891023360.

The previous prime is 131413132627697. The next prime is 131413132627741. The reversal of 131413132627740 is 47726231314131.

131413132627740 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 3 + 13 + 2 + 627 + 7 + 4 + 0 = 666.

It is a super-2 number, since 2×131413132627740² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413132627741) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1499267436 + ... + 1499355084.

It is an arithmetic number, because the mean of its divisors is an integer number (761498992800).

Almost surely, 2^{131413132627740} is an apocalyptic number.

131413132627740 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 131413132627740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219311709926400).

131413132627740 is an abundant number, since it is smaller than the sum of its proper divisors (307210287225060).

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

131413132627740 is a wasteful number, since it uses less digits than its factorization.

131413132627740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87922 (or 87917 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 131413132627740 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred thirty-two million, six hundred twenty-seven thousand, seven hundred forty".