13210321400 has 96 divisors (see below), whose sum is σ = 33083596800. Its totient is φ = 4891286400.

The previous prime is 13210321379. The next prime is 13210321403. The reversal of 13210321400 is 412301231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210321403) 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, 96281 + ... + 188919.

It is an arithmetic number, because the mean of its divisors is an integer number (344620800).

Almost surely, 2^13210321400 is an apocalyptic number.

13210321400 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 13210321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541798400).

13210321400 is an abundant number, since it is smaller than the sum of its proper divisors (19873275400).

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

13210321400 is a wasteful number, since it uses less digits than its factorization.

13210321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92709 (or 92700 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13210321400 its reverse (412301231), we get a palindrome (13622622631).

The spelling of 13210321400 in words is "thirteen billion, two hundred ten million, three hundred twenty-one thousand, four hundred".