13311013200 has 120 divisors (see below), whose sum is σ = 42707424288. Its totient is φ = 3543959040.

The previous prime is 13311013193. The next prime is 13311013207. The reversal of 13311013200 is 231011331.

It is an interprime number because it is at equal distance from previous prime (13311013193) and next prime (13311013207).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13311013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311013207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775107 + ... + 792093.

Almost surely, 2^13311013200 is an apocalyptic number.

13311013200 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 13311013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21353712144).

13311013200 is an abundant number, since it is smaller than the sum of its proper divisors (29396411088).

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

13311013200 is a wasteful number, since it uses less digits than its factorization.

13311013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17661 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13311013200 its reverse (231011331), we get a palindrome (13542024531).

The spelling of 13311013200 in words is "thirteen billion, three hundred eleven million, thirteen thousand, two hundred".