13321371400 has 96 divisors (see below), whose sum is σ = 31285140480. Its totient is φ = 5275008000.

The previous prime is 13321371391. The next prime is 13321371419. The reversal of 13321371400 is 417312331.

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, 9205477 + ... + 9206923.

It is an arithmetic number, because the mean of its divisors is an integer number (325886880).

Almost surely, 2^13321371400 is an apocalyptic number.

13321371400 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 13321371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642570240).

13321371400 is an abundant number, since it is smaller than the sum of its proper divisors (17963769080).

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

13321371400 is a wasteful number, since it uses less digits than its factorization.

13321371400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 13321371400 its reverse (417312331), we get a palindrome (13738683731).

The spelling of 13321371400 in words is "thirteen billion, three hundred twenty-one million, three hundred seventy-one thousand, four hundred".