13301012313000 has 768 divisors, whose sum is σ = 49496642395200. Its totient is φ = 3206607667200.

The previous prime is 13301012312981. The next prime is 13301012313031. The reversal of 13301012313000 is 31321010331.

It is a happy number.

13301012313000 is a `hidden beast` number, since 1 + 3 + 30 + 101 + 231 + 300 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 70086208644 + 13230926104356 = 264738^2 + 3637434^2 .

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 874081392 + ... + 874096608.

Almost surely, 2^{13301012313000} is an apocalyptic number.

13301012313000 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 13301012313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748321197600).

13301012313000 is an abundant number, since it is smaller than the sum of its proper divisors (36195630082200).

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

13301012313000 is a wasteful number, since it uses less digits than its factorization.

13301012313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15487 (or 15470 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13301012313000 its reverse (31321010331), we get a palindrome (13332333323331).

The spelling of 13301012313000 in words is "thirteen trillion, three hundred one billion, twelve million, three hundred thirteen thousand".