13063309062400 has 81 divisors (see below), whose sum is σ = 32334446767861. Its totient is φ = 5225207966720.

The previous prime is 13063309062373. The next prime is 13063309062409. The reversal of 13063309062400 is 426090336031.

The square root of 13063309062400 is 3614320.

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

It can be written as a sum of positive squares in only one way, i.e., 4702791262464 + 8360517799936 = 2168592^2 + 2891456^2 .

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 13063309062400.

It is not an unprimeable number, because it can be changed into a prime (13063309062409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 289123011 + ... + 289168189.

Almost surely, 2^{13063309062400} is an apocalyptic number.

13063309062400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13063309062400 is the 3614320-th square number.

It is an amenable number.

13063309062400 is an abundant number, since it is smaller than the sum of its proper divisors (19271137705461).

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

13063309062400 is an frugal number, since it uses more digits than its factorization.

13063309062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90384 (or 45186 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

Adding to 13063309062400 its reverse (426090336031), we get a palindrome (13489399398431).

The spelling of 13063309062400 in words is "thirteen trillion, sixty-three billion, three hundred nine million, sixty-two thousand, four hundred".