13131444400 has 120 divisors (see below), whose sum is σ = 32241380864. Its totient is φ = 5138380800.

The previous prime is 13131444373. The next prime is 13131444421. The reversal of 13131444400 is 444413131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3706630 + ... + 3710170.

Almost surely, 2^13131444400 is an apocalyptic number.

13131444400 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 13131444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120690432).

13131444400 is an abundant number, since it is smaller than the sum of its proper divisors (19109936464).

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

13131444400 is a wasteful number, since it uses less digits than its factorization.

13131444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13131444400 its reverse (444413131), we get a palindrome (13575857531).

The spelling of 13131444400 in words is "thirteen billion, one hundred thirty-one million, four hundred forty-four thousand, four hundred".