13200310133010 has 768 divisors, whose sum is σ = 47535932021760. Its totient is φ = 2452597678080.

The previous prime is 13200310132907. The next prime is 13200310133057. The reversal of 13200310133010 is 1033101300231.

It is a happy number.

13200310133010 is a `hidden beast` number, since 1 + 3 + 20 + 0 + 310 + 1 + 330 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 763323924 + ... + 763341216.

It is an arithmetic number, because the mean of its divisors is an integer number (61895744820).

Almost surely, 2^{13200310133010} is an apocalyptic number.

13200310133010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200310133010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23767966010880).

13200310133010 is an abundant number, since it is smaller than the sum of its proper divisors (34335621888750).

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

13200310133010 is a wasteful number, since it uses less digits than its factorization.

13200310133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17603 (or 17600 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13200310133010 its reverse (1033101300231), we get a palindrome (14233411433241).

The spelling of 13200310133010 in words is "thirteen trillion, two hundred billion, three hundred ten million, one hundred thirty-three thousand, ten".