13201420250400 has 144 divisors (see below), whose sum is σ = 43698939026400. Its totient is φ = 3460711260160.

The previous prime is 13201420250377. The next prime is 13201420250401. The reversal of 13201420250400 is 405202410231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13201420250401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46473585 + ... + 46756784.

It is an arithmetic number, because the mean of its divisors is an integer number (303464854350).

Almost surely, 2^{13201420250400} is an apocalyptic number.

13201420250400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201420250400 is an abundant number, since it is smaller than the sum of its proper divisors (30497518776000).

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

13201420250400 is a wasteful number, since it uses less digits than its factorization.

13201420250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93230451 (or 93230438 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 13201420250400 its reverse (405202410231), we get a palindrome (13606622660631).

The spelling of 13201420250400 in words is "thirteen trillion, two hundred one billion, four hundred twenty million, two hundred fifty thousand, four hundred".