13200313011000 has 128 divisors (see below), whose sum is σ = 41192353612800. Its totient is φ = 3519452956800.

The previous prime is 13200313010977. The next prime is 13200313011001. The reversal of 13200313011000 is 11031300231.

It is a super-2 number, since 2×13200313011000² (a number of 27 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 (13200313011001) 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, 16477741 + ... + 17260259.

It is an arithmetic number, because the mean of its divisors is an integer number (321815262600).

Almost surely, 2^{13200313011000} is an apocalyptic number.

13200313011000 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 13200313011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596176806400).

13200313011000 is an abundant number, since it is smaller than the sum of its proper divisors (27992040601800).

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

13200313011000 is a wasteful number, since it uses less digits than its factorization.

13200313011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788166 (or 788152 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13200313011000 its reverse (11031300231), we get a palindrome (13211344311231).

The spelling of 13200313011000 in words is "thirteen trillion, two hundred billion, three hundred thirteen million, eleven thousand".