13301021025000 has 288 divisors, whose sum is σ = 45764804849400. Its totient is φ = 3488788800000.

The previous prime is 13301021024989. The next prime is 13301021025029. The reversal of 13301021025000 is 52012010331.

13301021025000 is a `hidden beast` number, since 133 + 0 + 10 + 21 + 0 + 2 + 500 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9596327666436 + 3704693358564 = 3097794^2 + 1924758^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 13240446 + ... + 14209554.

Almost surely, 2^{13301021025000} is an apocalyptic number.

13301021025000 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 13301021025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22882402424700).

13301021025000 is an abundant number, since it is smaller than the sum of its proper divisors (32463783824400).

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

13301021025000 is an equidigital number, since it uses as much as digits as its factorization.

13301021025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969207 (or 969180 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13301021025000 its reverse (52012010331), we get a palindrome (13353033035331).

The spelling of 13301021025000 in words is "thirteen trillion, three hundred one billion, twenty-one million, twenty-five thousand".