13213104000 has 256 divisors, whose sum is σ = 44115701760. Its totient is φ = 3498240000.

The previous prime is 13213103977. The next prime is 13213104001. The reversal of 13213104000 is 40131231.

It is a super-2 number, since 2×13213104000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213104001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7247089 + ... + 7248911.

It is an arithmetic number, because the mean of its divisors is an integer number (172326960).

Almost surely, 2^13213104000 is an apocalyptic number.

13213104000 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 13213104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22057850880).

13213104000 is an abundant number, since it is smaller than the sum of its proper divisors (30902597760).

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

13213104000 is a wasteful number, since it uses less digits than its factorization.

13213104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1984 counting only the distinct ones).

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

Adding to 13213104000 its reverse (40131231), we get a palindrome (13253235231).

The spelling of 13213104000 in words is "thirteen billion, two hundred thirteen million, one hundred four thousand".