13138011600 has 120 divisors (see below), whose sum is σ = 48097665600. Its totient is φ = 3002972160.

The previous prime is 13138011589. The next prime is 13138011613. The reversal of 13138011600 is 611083131.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 773625 + ... + 790424.

It is an arithmetic number, because the mean of its divisors is an integer number (400813880).

Almost surely, 2^13138011600 is an apocalyptic number.

13138011600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13138011600 is an abundant number, since it is smaller than the sum of its proper divisors (34959654000).

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

13138011600 is a wasteful number, since it uses less digits than its factorization.

13138011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564077 (or 1564066 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 13138011600 its reverse (611083131), we get a palindrome (13749094731).

The spelling of 13138011600 in words is "thirteen billion, one hundred thirty-eight million, eleven thousand, six hundred".