13331300022000 has 960 divisors, whose sum is σ = 48843064558080. Its totient is φ = 3385525248000.

The previous prime is 13331300021971. The next prime is 13331300022023. The reversal of 13331300022000 is 22000313331.

13331300022000 is a `hidden beast` number, since 1 + 333 + 130 + 0 + 0 + 2 + 200 + 0 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9709613314 + ... + 9709614686.

It is an arithmetic number, because the mean of its divisors is an integer number (50878192248).

Almost surely, 2^{13331300022000} is an apocalyptic number.

13331300022000 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 13331300022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24421532279040).

13331300022000 is an abundant number, since it is smaller than the sum of its proper divisors (35511764536080).

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

13331300022000 is a wasteful number, since it uses less digits than its factorization.

13331300022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13331300022000 its reverse (22000313331), we get a palindrome (13353300335331).

The spelling of 13331300022000 in words is "thirteen trillion, three hundred thirty-one billion, three hundred million, twenty-two thousand".