13009252200 has 384 divisors, whose sum is σ = 47911219200. Its totient is φ = 2858388480.

The previous prime is 13009252183. The next prime is 13009252211. The reversal of 13009252200 is 225290031.

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

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, 11646042 + ... + 11647158.

It is an arithmetic number, because the mean of its divisors is an integer number (124768800).

Almost surely, 2^13009252200 is an apocalyptic number.

13009252200 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 13009252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23955609600).

13009252200 is an abundant number, since it is smaller than the sum of its proper divisors (34901967000).

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

13009252200 is a wasteful number, since it uses less digits than its factorization.

13009252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1240 counting only the distinct ones).

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

The spelling of 13009252200 in words is "thirteen billion, nine million, two hundred fifty-two thousand, two hundred".