10112112013 has 2 divisors, whose sum is σ = 10112112014. Its totient is φ = 10112112012.

The previous prime is 10112111981. The next prime is 10112112029. The reversal of 10112112013 is 31021121101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8478173929 + 1633938084 = 92077^2 + 40422^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112112013 - 2⁵ = 10112111981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10112111984 and 10112112002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112112713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056056006 + 5056056007.

It is an arithmetic number, because the mean of its divisors is an integer number (5056056007).

Almost surely, 2^10112112013 is an apocalyptic number.

It is an amenable number.

10112112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112112013 is an equidigital number, since it uses as much as digits as its factorization.

10112112013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10112112013 its reverse (31021121101), we get a palindrome (41133233114).

The spelling of 10112112013 in words is "ten billion, one hundred twelve million, one hundred twelve thousand, thirteen".