13400400324100 has 72 divisors (see below), whose sum is σ = 29197303003008. Its totient is φ = 5338332720000.

The previous prime is 13400400324023. The next prime is 13400400324109. The reversal of 13400400324100 is 142300400431.

It is a super-2 number, since 2×13400400324100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13400400324109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470786469 + ... + 470814931.

It is an arithmetic number, because the mean of its divisors is an integer number (405518097264).

Almost surely, 2^{13400400324100} is an apocalyptic number.

13400400324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400400324100 is an abundant number, since it is smaller than the sum of its proper divisors (15796902678908).

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

13400400324100 is a wasteful number, since it uses less digits than its factorization.

13400400324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47485 (or 47478 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13400400324100 its reverse (142300400431), we get a palindrome (13542700724531).

The spelling of 13400400324100 in words is "thirteen trillion, four hundred billion, four hundred million, three hundred twenty-four thousand, one hundred".