10101107313 has 24 divisors (see below), whose sum is σ = 16754630880. Its totient is φ = 5799677760.

The previous prime is 10101107257. The next prime is 10101107323. The reversal of 10101107313 is 31370110101.

It is not a de Polignac number, because 10101107313 - 2¹⁶ = 10101041777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101107323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2683156 + ... + 2686917.

It is an arithmetic number, because the mean of its divisors is an integer number (698109620).

Almost surely, 2^10101107313 is an apocalyptic number.

It is an amenable number.

10101107313 is a deficient number, since it is larger than the sum of its proper divisors (6653523567).

10101107313 is a wasteful number, since it uses less digits than its factorization.

10101107313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370109 (or 5370106 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

Adding to 10101107313 its reverse (31370110101), we get a palindrome (41471217414).

The spelling of 10101107313 in words is "ten billion, one hundred one million, one hundred seven thousand, three hundred thirteen".