13153014600 has 288 divisors, whose sum is σ = 46772631360. Its totient is φ = 3049587200.

The previous prime is 13153014587. The next prime is 13153014601. The reversal of 13153014600 is 641035131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13153014601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1665862 + ... + 1673738.

It is an arithmetic number, because the mean of its divisors is an integer number (162404970).

Almost surely, 2^13153014600 is an apocalyptic number.

13153014600 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 13153014600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23386315680).

13153014600 is an abundant number, since it is smaller than the sum of its proper divisors (33619616760).

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

13153014600 is a wasteful number, since it uses less digits than its factorization.

13153014600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7941 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13153014600 its reverse (641035131), we get a palindrome (13794049731).

The spelling of 13153014600 in words is "thirteen billion, one hundred fifty-three million, fourteen thousand, six hundred".