13022134400 has 96 divisors (see below), whose sum is σ = 35093267280. Its totient is φ = 4735308800.

The previous prime is 13022134387. The next prime is 13022134409. The reversal of 13022134400 is 443122031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13022134409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149774 + ... + 220173.

Almost surely, 2^13022134400 is an apocalyptic number.

13022134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022134400 is an abundant number, since it is smaller than the sum of its proper divisors (22071132880).

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

13022134400 is a wasteful number, since it uses less digits than its factorization.

13022134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369982 (or 369965 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13022134400 its reverse (443122031), we get a palindrome (13465256431).

The spelling of 13022134400 in words is "thirteen billion, twenty-two million, one hundred thirty-four thousand, four hundred".