13213313400 has 192 divisors, whose sum is σ = 47696947200. Its totient is φ = 2963151360.

The previous prime is 13213313381. The next prime is 13213313419. The reversal of 13213313400 is 431331231.

It is an interprime number because it is at equal distance from previous prime (13213313381) and next prime (13213313419).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192921 + ... + 252279.

It is an arithmetic number, because the mean of its divisors is an integer number (248421600).

Almost surely, 2^13213313400 is an apocalyptic number.

13213313400 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 13213313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23848473600).

13213313400 is an abundant number, since it is smaller than the sum of its proper divisors (34483633800).

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

13213313400 is a wasteful number, since it uses less digits than its factorization.

13213313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59438 (or 59429 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13213313400 its reverse (431331231), we get a palindrome (13644644631).

The spelling of 13213313400 in words is "thirteen billion, two hundred thirteen million, three hundred thirteen thousand, four hundred".