101130110013 has 16 divisors (see below), whose sum is σ = 135076265280. Its totient is φ = 67302073344.

The previous prime is 101130109991. The next prime is 101130110023. The reversal of 101130110013 is 310011031101.

It is not a de Polignac number, because 101130110013 - 2⁵ = 101130109981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130110023) 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 15 ways as a sum of consecutive naturals, for example, 12841245 + ... + 12849117.

It is an arithmetic number, because the mean of its divisors is an integer number (8442266580).

Almost surely, 2^101130110013 is an apocalyptic number.

It is an amenable number.

101130110013 is a deficient number, since it is larger than the sum of its proper divisors (33946155267).

101130110013 is an equidigital number, since it uses as much as digits as its factorization.

101130110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14828.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101130110013 its reverse (310011031101), we get a palindrome (411141141114).

The spelling of 101130110013 in words is "one hundred one billion, one hundred thirty million, one hundred ten thousand, thirteen".