131201404013420 has 96 divisors (see below), whose sum is σ = 298354442674176. Its totient is φ = 48176404012800.

The previous prime is 131201404013419. The next prime is 131201404013443. The reversal of 131201404013420 is 24310404102131.

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 131201404013420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176965937 + ... + 177705783.

It is an arithmetic number, because the mean of its divisors is an integer number (3107858777856).

Almost surely, 2^{131201404013420} is an apocalyptic number.

131201404013420 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 131201404013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149177221337088).

131201404013420 is an abundant number, since it is smaller than the sum of its proper divisors (167153038660756).

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

131201404013420 is a wasteful number, since it uses less digits than its factorization.

131201404013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743631 (or 743629 counting only the distinct ones).

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

Adding to 131201404013420 its reverse (24310404102131), we get a palindrome (155511808115551).

The spelling of 131201404013420 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred four million, thirteen thousand, four hundred twenty".