13213137760144 has 135 divisors (see below), whose sum is σ = 30039497214363. Its totient is φ = 5613875467200.

The previous prime is 13213137760129. The next prime is 13213137760153. The reversal of 13213137760144 is 44106773131231.

The square root of 13213137760144 is 3634988.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13213137760144.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 13333135489 + ... + 13333136479.

Almost surely, 2^{13213137760144} is an apocalyptic number.

13213137760144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13213137760144 is the 3634988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13213137760144

13213137760144 is an abundant number, since it is smaller than the sum of its proper divisors (16826359454219).

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

13213137760144 is an frugal number, since it uses more digits than its factorization.

13213137760144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 13213137760144 in words is "thirteen trillion, two hundred thirteen billion, one hundred thirty-seven million, seven hundred sixty thousand, one hundred forty-four".