13131012314420 has 96 divisors (see below), whose sum is σ = 37023945267456. Its totient is φ = 3777953587200.

The previous prime is 13131012314393. The next prime is 13131012314429. The reversal of 13131012314420 is 2441321013131.

13131012314420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13131012314420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131012314429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327927341 + ... + 327967380.

It is an arithmetic number, because the mean of its divisors is an integer number (385666096536).

Almost surely, 2^{13131012314420} is an apocalyptic number.

13131012314420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131012314420 is an abundant number, since it is smaller than the sum of its proper divisors (23892932953036).

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

13131012314420 is a wasteful number, since it uses less digits than its factorization.

13131012314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655894761 (or 655894759 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13131012314420 its reverse (2441321013131), we get a palindrome (15572333327551).

The spelling of 13131012314420 in words is "thirteen trillion, one hundred thirty-one billion, twelve million, three hundred fourteen thousand, four hundred twenty".