101320010013 has 32 divisors (see below), whose sum is σ = 147024322560. Its totient is φ = 61805306880.

The previous prime is 101320010009. The next prime is 101320010023. The reversal of 101320010013 is 310010023101.

It is not a de Polignac number, because 101320010013 - 2² = 101320010009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320010003) 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 31 ways as a sum of consecutive naturals, for example, 2392483 + ... + 2434463.

It is an arithmetic number, because the mean of its divisors is an integer number (4594510080).

Almost surely, 2^101320010013 is an apocalyptic number.

It is an amenable number.

101320010013 is a deficient number, since it is larger than the sum of its proper divisors (45704312547).

101320010013 is a wasteful number, since it uses less digits than its factorization.

101320010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43317.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101320010013 its reverse (310010023101), we get a palindrome (411330033114).

The spelling of 101320010013 in words is "one hundred one billion, three hundred twenty million, ten thousand, thirteen".