13013333232400 has 60 divisors (see below), whose sum is σ = 31692814437172. Its totient is φ = 5134027345920.

The previous prime is 13013333232299. The next prime is 13013333232491. The reversal of 13013333232400 is 423233331031.

It can be written as a sum of positive squares in 6 ways, for example, as 3951882496 + 13009381349904 = 62864^2 + 3606852^2 .

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 11 ways as a sum of consecutive naturals, for example, 222801849 + ... + 222860248.

Almost surely, 2^{13013333232400} is an apocalyptic number.

13013333232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013333232400 is an abundant number, since it is smaller than the sum of its proper divisors (18679481204772).

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

13013333232400 is a wasteful number, since it uses less digits than its factorization.

13013333232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445662188 (or 445662177 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 13013333232400 its reverse (423233331031), we get a palindrome (13436566563431).

The spelling of 13013333232400 in words is "thirteen trillion, thirteen billion, three hundred thirty-three million, two hundred thirty-two thousand, four hundred".