131402400134020 has 48 divisors (see below), whose sum is σ = 295459990323120. Its totient is φ = 48913305841664.

The previous prime is 131402400134017. The next prime is 131402400134039. The reversal of 131402400134020 is 20431004204131.

It can be written as a sum of positive squares in 8 ways, for example, as 88722962496 + 131313677171524 = 297864^2 + 11459218^2 .

It is a super-2 number, since 2×131402400134020² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2171192479 + ... + 2171252998.

It is an arithmetic number, because the mean of its divisors is an integer number (6155416465065).

Almost surely, 2^{131402400134020} is an apocalyptic number.

131402400134020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402400134020 is an abundant number, since it is smaller than the sum of its proper divisors (164057590189100).

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

131402400134020 is a wasteful number, since it uses less digits than its factorization.

131402400134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342445592 (or 4342445590 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 131402400134020 its reverse (20431004204131), we get a palindrome (151833404338151).

The spelling of 131402400134020 in words is "one hundred thirty-one trillion, four hundred two billion, four hundred million, one hundred thirty-four thousand, twenty".