13013145600 has 1152 divisors, whose sum is σ = 56871360000. Its totient is φ = 2601123840.

The previous prime is 13013145571. The next prime is 13013145623. The reversal of 13013145600 is 654131031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 684902391 + ... + 684902409.

It is an arithmetic number, because the mean of its divisors is an integer number (49367500).

Almost surely, 2^13013145600 is an apocalyptic number.

13013145600 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 13013145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680000).

13013145600 is an abundant number, since it is smaller than the sum of its proper divisors (43858214400).

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

13013145600 is a wasteful number, since it uses less digits than its factorization.

13013145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

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

Adding to 13013145600 its reverse (654131031), we get a palindrome (13667276631).

The spelling of 13013145600 in words is "thirteen billion, thirteen million, one hundred forty-five thousand, six hundred".