13123134400 has 84 divisors (see below), whose sum is σ = 32472218520. Its totient is φ = 5219814400.

The previous prime is 13123134389. The next prime is 13123134407. The reversal of 13123134400 is 443132131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123134407) 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, 263490 + ... + 309310.

It is an arithmetic number, because the mean of its divisors is an integer number (386574030).

Almost surely, 2^13123134400 is an apocalyptic number.

13123134400 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 13123134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236109260).

13123134400 is an abundant number, since it is smaller than the sum of its proper divisors (19349084120).

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

13123134400 is a wasteful number, since it uses less digits than its factorization.

13123134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46022 (or 46007 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13123134400 its reverse (443132131), we get a palindrome (13566266531).

The spelling of 13123134400 in words is "thirteen billion, one hundred twenty-three million, one hundred thirty-four thousand, four hundred".