13002031200 has 144 divisors (see below), whose sum is σ = 42918253056. Its totient is φ = 3418329600.

The previous prime is 13002031181. The next prime is 13002031201. The reversal of 13002031200 is 213020031.

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 not an unprimeable number, because it can be changed into a prime (13002031201) 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, 132249 + ... + 208551.

It is an arithmetic number, because the mean of its divisors is an integer number (298043424).

Almost surely, 2^13002031200 is an apocalyptic number.

13002031200 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 13002031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21459126528).

13002031200 is an abundant number, since it is smaller than the sum of its proper divisors (29916221856).

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

13002031200 is a wasteful number, since it uses less digits than its factorization.

13002031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76397 (or 76384 counting only the distinct ones).

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

Adding to 13002031200 its reverse (213020031), we get a palindrome (13215051231).

The spelling of 13002031200 in words is "thirteen billion, two million, thirty-one thousand, two hundred".