20131230013013 has 64 divisors (see below), whose sum is σ = 25165528089600. Its totient is φ = 16055156468736.

The previous prime is 20131230013009. The next prime is 20131230013049. The reversal of 20131230013013 is 31031003213102.

It is not a de Polignac number, because 20131230013013 - 2² = 20131230013009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131230003013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2403150881 + ... + 2403159257.

It is an arithmetic number, because the mean of its divisors is an integer number (393211376400).

Almost surely, 2^{20131230013013} is an apocalyptic number.

20131230013013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20131230013013 is a deficient number, since it is larger than the sum of its proper divisors (5034298076587).

20131230013013 is an equidigital number, since it uses as much as digits as its factorization.

20131230013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16691 (or 16677 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 20131230013013 its reverse (31031003213102), we get a palindrome (51162233226115).

The spelling of 20131230013013 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty million, thirteen thousand, thirteen".