13055134400 has 168 divisors, whose sum is σ = 40050817536. Its totient is φ = 4069094400.

The previous prime is 13055134369. The next prime is 13055134447. The reversal of 13055134400 is 443155031.

It is a self number, because there is not a number n which added to its sum of digits gives 13055134400.

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, 70217 + ... + 176183.

Almost surely, 2^13055134400 is an apocalyptic number.

13055134400 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 13055134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20025408768).

13055134400 is an abundant number, since it is smaller than the sum of its proper divisors (26995683136).

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

13055134400 is a wasteful number, since it uses less digits than its factorization.

13055134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106007 (or 105992 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 13055134400 its reverse (443155031), we get a palindrome (13498289431).

The spelling of 13055134400 in words is "thirteen billion, fifty-five million, one hundred thirty-four thousand, four hundred".