13021213200 has 120 divisors (see below), whose sum is σ = 41988104256. Its totient is φ = 3449280000.

The previous prime is 13021213141. The next prime is 13021213201. The reversal of 13021213200 is 231212031.

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 13021213200.

It is not an unprimeable number, because it can be changed into a prime (13021213201) 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, 145270 + ... + 217130.

Almost surely, 2^13021213200 is an apocalyptic number.

13021213200 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 13021213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994052128).

13021213200 is an abundant number, since it is smaller than the sum of its proper divisors (28966891056).

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

13021213200 is a wasteful number, since it uses less digits than its factorization.

13021213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72033 (or 72022 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13021213200 its reverse (231212031), we get a palindrome (13252425231).

The spelling of 13021213200 in words is "thirteen billion, twenty-one million, two hundred thirteen thousand, two hundred".