13101013200 has 240 divisors, whose sum is σ = 46054748736. Its totient is φ = 3157094400.

The previous prime is 13101013157. The next prime is 13101013201. The reversal of 13101013200 is 231010131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101013201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2280732 + ... + 2286468.

Almost surely, 2^13101013200 is an apocalyptic number.

13101013200 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 13101013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23027374368).

13101013200 is an abundant number, since it is smaller than the sum of its proper divisors (32953735536).

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

13101013200 is a wasteful number, since it uses less digits than its factorization.

13101013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13101013200 its reverse (231010131), we get a palindrome (13332023331).

The spelling of 13101013200 in words is "thirteen billion, one hundred one million, thirteen thousand, two hundred".