13210153600 has 192 divisors, whose sum is σ = 37670803200. Its totient is φ = 4483584000.

The previous prime is 13210153493. The next prime is 13210153609. The reversal of 13210153600 is 635101231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13210153609) 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, 2259481 + ... + 2265319.

It is an arithmetic number, because the mean of its divisors is an integer number (196202100).

Almost surely, 2^13210153600 is an apocalyptic number.

13210153600 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 13210153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18835401600).

13210153600 is an abundant number, since it is smaller than the sum of its proper divisors (24460649600).

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

13210153600 is a wasteful number, since it uses less digits than its factorization.

13210153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 13210153600 its reverse (635101231), we get a palindrome (13845254831).

The spelling of 13210153600 in words is "thirteen billion, two hundred ten million, one hundred fifty-three thousand, six hundred".