13213122102000 has 120 divisors (see below), whose sum is σ = 46149031191120. Its totient is φ = 3523499222400.

The previous prime is 13213122101987. The next prime is 13213122102017. The reversal of 13213122102000 is 20122131231.

13213122102000 is a `hidden beast` number, since 1 + 321 + 312 + 2 + 10 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 367013170 + ... + 367049169.

It is an arithmetic number, because the mean of its divisors is an integer number (384575259926).

Almost surely, 2^{13213122102000} is an apocalyptic number.

13213122102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213122102000 is an abundant number, since it is smaller than the sum of its proper divisors (32935909089120).

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

13213122102000 is a wasteful number, since it uses less digits than its factorization.

13213122102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734062368 (or 734062349 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13213122102000 its reverse (20122131231), we get a palindrome (13233244233231).

The spelling of 13213122102000 in words is "thirteen trillion, two hundred thirteen billion, one hundred twenty-two million, one hundred two thousand".