13320123312013 has 32 divisors (see below), whose sum is σ = 15605602182144. Its totient is φ = 11132143690752.

The previous prime is 13320123311993. The next prime is 13320123312029. The reversal of 13320123312013 is 31021332102331.

It is not a de Polignac number, because 13320123312013 - 2⁹ = 13320123311501 is a prime.

It is a super-2 number, since 2×13320123312013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320123352013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047749745 + ... + 1047762457.

It is an arithmetic number, because the mean of its divisors is an integer number (487675068192).

Almost surely, 2^{13320123312013} is an apocalyptic number.

It is an amenable number.

13320123312013 is a deficient number, since it is larger than the sum of its proper divisors (2285478870131).

13320123312013 is a wasteful number, since it uses less digits than its factorization.

13320123312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24541.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13320123312013 its reverse (31021332102331), we get a palindrome (44341455414344).

It can be divided in two parts, 1332012 and 3312013, that added together give a square (4644025 = 2155²).

The spelling of 13320123312013 in words is "thirteen trillion, three hundred twenty billion, one hundred twenty-three million, three hundred twelve thousand, thirteen".