101007112013 has 4 divisors (see below), whose sum is σ = 101028805980. Its totient is φ = 100985418048.

The previous prime is 101007112009. The next prime is 101007112021. The reversal of 101007112013 is 310211700101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 48260181124 + 52746930889 = 219682^2 + 229667^2 .

It is a cyclic number.

It is not a de Polignac number, because 101007112013 - 2² = 101007112009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101007111982 and 101007112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101007112813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10839998 + ... + 10849311.

It is an arithmetic number, because the mean of its divisors is an integer number (25257201495).

Almost surely, 2^101007112013 is an apocalyptic number.

It is an amenable number.

101007112013 is a deficient number, since it is larger than the sum of its proper divisors (21693967).

101007112013 is an equidigital number, since it uses as much as digits as its factorization.

101007112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21693966.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 101007112013 its reverse (310211700101), we get a palindrome (411218812114).

The spelling of 101007112013 in words is "one hundred one billion, seven million, one hundred twelve thousand, thirteen".