13021130202300 has 1296 divisors, whose sum is σ = 47233977248640. Its totient is φ = 2995060147200.

The previous prime is 13021130202299. The next prime is 13021130202329. The reversal of 13021130202300 is 320203112031.

13021130202300 is a `hidden beast` number, since 1 + 30 + 2 + 1 + 130 + 202 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 37524870727 + ... + 37524871073.

Almost surely, 2^{13021130202300} is an apocalyptic number.

13021130202300 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 13021130202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23616988624320).

13021130202300 is an abundant number, since it is smaller than the sum of its proper divisors (34212847046340).

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

13021130202300 is a wasteful number, since it uses less digits than its factorization.

13021130202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13021130202300 its reverse (320203112031), we get a palindrome (13341333314331).

The spelling of 13021130202300 in words is "thirteen trillion, twenty-one billion, one hundred thirty million, two hundred two thousand, three hundred".