10112031313 has 2 divisors, whose sum is σ = 10112031314. Its totient is φ = 10112031312.

The previous prime is 10112031289. The next prime is 10112031359. The reversal of 10112031313 is 31313021101.

10112031313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8370054144 + 1741977169 = 91488^2 + 41737^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112031313 - 2¹³ = 10112023121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112031383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056015656 + 5056015657.

It is an arithmetic number, because the mean of its divisors is an integer number (5056015657).

Almost surely, 2^10112031313 is an apocalyptic number.

It is an amenable number.

10112031313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112031313 is an equidigital number, since it uses as much as digits as its factorization.

10112031313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10112031313 its reverse (31313021101), we get a palindrome (41425052414).

The spelling of 10112031313 in words is "ten billion, one hundred twelve million, thirty-one thousand, three hundred thirteen".