13332020013 has 64 divisors (see below), whose sum is σ = 21614208000. Its totient is φ = 8072483328.

The previous prime is 13332019951. The next prime is 13332020021. The reversal of 13332020013 is 31002023331.

13332020013 is a `hidden beast` number, since 133 + 320 + 200 + 13 = 666.

It is not a de Polignac number, because 13332020013 - 2⁹ = 13332019501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332020813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10342273 + ... + 10343561.

It is an arithmetic number, because the mean of its divisors is an integer number (337722000).

Almost surely, 2^13332020013 is an apocalyptic number.

13332020013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13332020013 is a deficient number, since it is larger than the sum of its proper divisors (8282187987).

13332020013 is a wasteful number, since it uses less digits than its factorization.

13332020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13332020013 its reverse (31002023331), we get a palindrome (44334043344).

The spelling of 13332020013 in words is "thirteen billion, three hundred thirty-two million, twenty thousand, thirteen".