13300020100003 has 24 divisors (see below), whose sum is σ = 16481349911808. Its totient is φ = 10508929153632.

The previous prime is 13300020099983. The next prime is 13300020100013. The reversal of 13300020100003 is 30000102000331.

It is a de Polignac number, because none of the positive numbers 2^k-13300020100003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13300020100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6686725 + ... + 8444662.

It is an arithmetic number, because the mean of its divisors is an integer number (686722912992).

Almost surely, 2^{13300020100003} is an apocalyptic number.

13300020100003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13300020100003 is a deficient number, since it is larger than the sum of its proper divisors (3181329811805).

13300020100003 is a wasteful number, since it uses less digits than its factorization.

13300020100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15132163 (or 15132150 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13300020100003 its reverse (30000102000331), we get a palindrome (43300122100334).

The spelling of 13300020100003 in words is "thirteen trillion, three hundred billion, twenty million, one hundred thousand, three".