10100112013 has 2 divisors, whose sum is σ = 10100112014. Its totient is φ = 10100112012.

The previous prime is 10100111999. The next prime is 10100112023. The reversal of 10100112013 is 31021100101.

It is an a-pointer prime, because the next prime (10100112023) can be obtained adding 10100112013 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5475704004 + 4624408009 = 73998^2 + 68003^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100112013 - 2¹³ = 10100103821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100112023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050056006 + 5050056007.

It is an arithmetic number, because the mean of its divisors is an integer number (5050056007).

Almost surely, 2^10100112013 is an apocalyptic number.

It is an amenable number.

10100112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100112013 is an equidigital number, since it uses as much as digits as its factorization.

10100112013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10100112013 its reverse (31021100101), we get a palindrome (41121212114).

The spelling of 10100112013 in words is "ten billion, one hundred million, one hundred twelve thousand, thirteen".