13300022013 has 16 divisors (see below), whose sum is σ = 17928025920. Its totient is φ = 8769470976.

The previous prime is 13300022003. The next prime is 13300022033. The reversal of 13300022013 is 31022000331.

It is not a de Polignac number, because 13300022013 - 2⁶ = 13300021949 is a prime.

It is a super-3 number, since 3×13300022013³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13300021983 and 13300022001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450418 + ... + 479036.

It is an arithmetic number, because the mean of its divisors is an integer number (1120501620).

Almost surely, 2^13300022013 is an apocalyptic number.

It is an amenable number.

13300022013 is a deficient number, since it is larger than the sum of its proper divisors (4628003907).

13300022013 is a wasteful number, since it uses less digits than its factorization.

13300022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30316.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13300022013 its reverse (31022000331), we get a palindrome (44322022344).

The spelling of 13300022013 in words is "thirteen billion, three hundred million, twenty-two thousand, thirteen".