13120414431400 has 192 divisors, whose sum is σ = 32716227456000. Its totient is φ = 4876037222400.

The previous prime is 13120414431379. The next prime is 13120414431427. The reversal of 13120414431400 is 413441402131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100367281 + ... + 100497919.

It is an arithmetic number, because the mean of its divisors is an integer number (170397018000).

Almost surely, 2^{13120414431400} is an apocalyptic number.

13120414431400 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 13120414431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358113728000).

13120414431400 is an abundant number, since it is smaller than the sum of its proper divisors (19595813024600).

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

13120414431400 is a wasteful number, since it uses less digits than its factorization.

13120414431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131052 (or 131043 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13120414431400 its reverse (413441402131), we get a palindrome (13533855833531).

The spelling of 13120414431400 in words is "thirteen trillion, one hundred twenty billion, four hundred fourteen million, four hundred thirty-one thousand, four hundred".