131412321200420 has 24 divisors (see below), whose sum is σ = 297194018715384. Its totient is φ = 48521472443136.

The previous prime is 131412321200411. The next prime is 131412321200449. The reversal of 131412321200420 is 24002123214131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3628468761316 + 127783852439104 = 1904854^2 + 11304152^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 131412321200420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252716002049 + ... + 252716002568.

It is an arithmetic number, because the mean of its divisors is an integer number (12383084113141).

Almost surely, 2^{131412321200420} is an apocalyptic number.

131412321200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131412321200420 is an abundant number, since it is smaller than the sum of its proper divisors (165781697514964).

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

131412321200420 is a wasteful number, since it uses less digits than its factorization.

131412321200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505432004639 (or 505432004637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131412321200420 its reverse (24002123214131), we get a palindrome (155414444414551).

The spelling of 131412321200420 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred twenty-one million, two hundred thousand, four hundred twenty".