13125220525200 has 960 divisors, whose sum is σ = 51252274644480. Its totient is φ = 2802861342720.

The previous prime is 13125220525199. The next prime is 13125220525237. The reversal of 13125220525200 is 252502252131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15387127974 + ... + 15387128826.

It is an arithmetic number, because the mean of its divisors is an integer number (53387786088).

Almost surely, 2^{13125220525200} is an apocalyptic number.

13125220525200 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 13125220525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25626137322240).

13125220525200 is an abundant number, since it is smaller than the sum of its proper divisors (38127054119280).

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

13125220525200 is a wasteful number, since it uses less digits than its factorization.

13125220525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 13125220525200 its reverse (252502252131), we get a palindrome (13377722777331).

The spelling of 13125220525200 in words is "thirteen trillion, one hundred twenty-five billion, two hundred twenty million, five hundred twenty-five thousand, two hundred".