13022121310200 has 864 divisors, whose sum is σ = 49466027052000. Its totient is φ = 3061586626560.

The previous prime is 13022121310193. The next prime is 13022121310241. The reversal of 13022121310200 is 201312122031.

13022121310200 is a `hidden beast` number, since 1 + 30 + 2 + 2 + 121 + 310 + 200 = 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 215 ways as a sum of consecutive naturals, for example, 552968026 + ... + 552991574.

It is an arithmetic number, because the mean of its divisors is an integer number (57252346125).

Almost surely, 2^{13022121310200} is an apocalyptic number.

13022121310200 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 13022121310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24733013526000).

13022121310200 is an abundant number, since it is smaller than the sum of its proper divisors (36443905741800).

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

13022121310200 is a wasteful number, since it uses less digits than its factorization.

13022121310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23669 (or 23638 counting only the distinct ones).

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

Adding to 13022121310200 its reverse (201312122031), we get a palindrome (13223433432231).

The spelling of 13022121310200 in words is "thirteen trillion, twenty-two billion, one hundred twenty-one million, three hundred ten thousand, two hundred".