13130253620400 has 720 divisors, whose sum is σ = 50655582025728. Its totient is φ = 2904249600000.

The previous prime is 13130253620371. The next prime is 13130253620453. The reversal of 13130253620400 is 402635203131.

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 143 ways as a sum of consecutive naturals, for example, 625209900 + ... + 625230900.

Almost surely, 2^{13130253620400} is an apocalyptic number.

13130253620400 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 13130253620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25327791012864).

13130253620400 is an abundant number, since it is smaller than the sum of its proper divisors (37525328405328).

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

13130253620400 is an equidigital number, since it uses as much as digits as its factorization.

13130253620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21088 (or 21049 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13130253620400 its reverse (402635203131), we get a palindrome (13532888823531).

The spelling of 13130253620400 in words is "thirteen trillion, one hundred thirty billion, two hundred fifty-three million, six hundred twenty thousand, four hundred".