13300783213600 has 288 divisors, whose sum is σ = 33072715866960. Its totient is φ = 5222631997440.

The previous prime is 13300783213583. The next prime is 13300783213603. The reversal of 13300783213600 is 631238700331.

It can be written as a sum of positive squares in 24 ways, for example, as 2220326485776 + 11080456727824 = 1490076^2 + 3328732^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13300783213600.

It is not an unprimeable number, because it can be changed into a prime (13300783213603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12875878684 + ... + 12875879716.

Almost surely, 2^{13300783213600} is an apocalyptic number.

13300783213600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300783213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536357933480).

13300783213600 is an abundant number, since it is smaller than the sum of its proper divisors (19771932653360).

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

13300783213600 is a wasteful number, since it uses less digits than its factorization.

13300783213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 13300783213600 in words is "thirteen trillion, three hundred billion, seven hundred eighty-three million, two hundred thirteen thousand, six hundred".