10306210113 has 12 divisors (see below), whose sum is σ = 14916001620. Its totient is φ = 6857305056.

The previous prime is 10306210099. The next prime is 10306210127. The reversal of 10306210113 is 31101260301.

10306210113 is a `hidden beast` number, since 1 + 0 + 30 + 621 + 0 + 1 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (10306210099) and next prime (10306210127).

It can be written as a sum of positive squares in 2 ways, for example, as 7612911504 + 2693298609 = 87252^2 + 51897^2 .

It is not a de Polignac number, because 10306210113 - 2⁹ = 10306209601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10306210163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1120306 + ... + 1129467.

It is an arithmetic number, because the mean of its divisors is an integer number (1243000135).

Almost surely, 2^10306210113 is an apocalyptic number.

It is an amenable number.

10306210113 is a deficient number, since it is larger than the sum of its proper divisors (4609791507).

10306210113 is a wasteful number, since it uses less digits than its factorization.

10306210113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250288 (or 2250285 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10306210113 its reverse (31101260301), we get a palindrome (41407470414).

The spelling of 10306210113 in words is "ten billion, three hundred six million, two hundred ten thousand, one hundred thirteen".