13200031200 has 432 divisors, whose sum is σ = 46293505776. Its totient is φ = 3264307200.

The previous prime is 13200031153. The next prime is 13200031249. The reversal of 13200031200 is 213000231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46975060 + ... + 46975340.

It is an arithmetic number, because the mean of its divisors is an integer number (107160893).

Almost surely, 2^13200031200 is an apocalyptic number.

13200031200 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 13200031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23146752888).

13200031200 is an abundant number, since it is smaller than the sum of its proper divisors (33093474576).

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

13200031200 is a wasteful number, since it uses less digits than its factorization.

13200031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13200031200 its reverse (213000231), we get a palindrome (13413031431).

It can be divided in two parts, 13200031 and 200, that added together give a palindrome (13200231).

The spelling of 13200031200 in words is "thirteen billion, two hundred million, thirty-one thousand, two hundred".