13220012013 has 16 divisors (see below), whose sum is σ = 19807912320. Its totient is φ = 7781678784.

The previous prime is 13220011991. The next prime is 13220012021. The reversal of 13220012013 is 31021002231.

It is not a de Polignac number, because 13220012013 - 2¹³ = 13220003821 is a prime.

It is a super-3 number, since 3×13220012013³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13220011983 and 13220012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220014013) 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 15 ways as a sum of consecutive naturals, for example, 7368118 + ... + 7369911.

It is an arithmetic number, because the mean of its divisors is an integer number (1237994520).

Almost surely, 2^13220012013 is an apocalyptic number.

13220012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13220012013 is a deficient number, since it is larger than the sum of its proper divisors (6587900307).

13220012013 is a wasteful number, since it uses less digits than its factorization.

13220012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14738068.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13220012013 its reverse (31021002231), we get a palindrome (44241014244).

The spelling of 13220012013 in words is "thirteen billion, two hundred twenty million, twelve thousand, thirteen".