10100310113 has 4 divisors (see below), whose sum is σ = 10694446020. Its totient is φ = 9506174208.

The previous prime is 10100310083. The next prime is 10100310139. The reversal of 10100310113 is 31101300101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4975468369 + 5124841744 = 70537^2 + 71588^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100310113 - 2¹⁶ = 10100244577 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100310094 and 10100310103.

It is not an unprimeable number, because it can be changed into a prime (10100310013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297067928 + ... + 297067961.

It is an arithmetic number, because the mean of its divisors is an integer number (2673611505).

Almost surely, 2^10100310113 is an apocalyptic number.

It is an amenable number.

10100310113 is a deficient number, since it is larger than the sum of its proper divisors (594135907).

10100310113 is an equidigital number, since it uses as much as digits as its factorization.

10100310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594135906.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10100310113 its reverse (31101300101), we get a palindrome (41201610214).

The spelling of 10100310113 in words is "ten billion, one hundred million, three hundred ten thousand, one hundred thirteen".