10031113 has 2 divisors, whose sum is σ = 10031114. Its totient is φ = 10031112.

The previous prime is 10031053. The next prime is 10031117. The reversal of 10031113 is 31113001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7991929 + 2039184 = 2827^2 + 1428^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10031113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10031113.

It is not a weakly prime, because it can be changed into another prime (10031117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015556 + 5015557.

It is an arithmetic number, because the mean of its divisors is an integer number (5015557).

Almost surely, 2^10031113 is an apocalyptic number.

It is an amenable number.

10031113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031113 is an equidigital number, since it uses as much as digits as its factorization.

10031113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 10031113 is about 3167.1932369213. The cubic root of 10031113 is about 215.6666740987. Note that the first 4 decimals are identical.

Adding to 10031113 its reverse (31113001), we get a palindrome (41144114).

It can be divided in two parts, 1003 and 1113, that added together give a square (2116 = 46²).

The spelling of 10031113 in words is "ten million, thirty-one thousand, one hundred thirteen".