13121022000200 has 384 divisors, whose sum is σ = 33412032921600. Its totient is φ = 4777014528000.

The previous prime is 13121022000139. The next prime is 13121022000217. The reversal of 13121022000200 is 200022012131.

It is a happy number.

It is a super-2 number, since 2×13121022000200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3737116445 + ... + 3737119955.

It is an arithmetic number, because the mean of its divisors is an integer number (87010502400).

Almost surely, 2^{13121022000200} is an apocalyptic number.

13121022000200 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 13121022000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706016460800).

13121022000200 is an abundant number, since it is smaller than the sum of its proper divisors (20291010921400).

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

13121022000200 is a wasteful number, since it uses less digits than its factorization.

13121022000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13121022000200 its reverse (200022012131), we get a palindrome (13321044012331).

The spelling of 13121022000200 in words is "thirteen trillion, one hundred twenty-one billion, twenty-two million, two hundred", and thus it is an aban number.