13238100096400 has 135 divisors (see below), whose sum is σ = 32118241131081. Its totient is φ = 5243516259840.

The previous prime is 13238100096383. The next prime is 13238100096491. The reversal of 13238100096400 is 469000183231.

The square root of 13238100096400 is 3638420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 5381156551824 + 7856943544576 = 2319732^2 + 2803024^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13238100096400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7931754766 + ... + 7931756434.

Almost surely, 2^{13238100096400} is an apocalyptic number.

13238100096400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13238100096400 is the 3638420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13238100096400

13238100096400 is an abundant number, since it is smaller than the sum of its proper divisors (18880141034681).

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

13238100096400 is an frugal number, since it uses more digits than its factorization.

13238100096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 13238100096400 in words is "thirteen trillion, two hundred thirty-eight billion, one hundred million, ninety-six thousand, four hundred".