13003133100320 has 144 divisors (see below), whose sum is σ = 34114617009144. Its totient is φ = 4679664844800.

The previous prime is 13003133100281. The next prime is 13003133100337. The reversal of 13003133100320 is 2300133130031.

It can be written as a sum of positive squares in 4 ways, for example, as 5430223520656 + 7572909579664 = 2330284^2 + 2751892^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13003133100292 and 13003133100301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584191 + ... + 5340030.

Almost surely, 2^{13003133100320} is an apocalyptic number.

13003133100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003133100320 is an abundant number, since it is smaller than the sum of its proper divisors (21111483908824).

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

13003133100320 is a wasteful number, since it uses less digits than its factorization.

13003133100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924355 (or 6924336 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13003133100320 its reverse (2300133130031), we get a palindrome (15303266230351).

The spelling of 13003133100320 in words is "thirteen trillion, three billion, one hundred thirty-three million, one hundred thousand, three hundred twenty".