10635448313 has 48 divisors (see below), whose sum is σ = 13052792064. Its totient is φ = 8481957120.

The previous prime is 10635448297. The next prime is 10635448367. The reversal of 10635448313 is 31384453601.

It is not a de Polignac number, because 10635448313 - 2⁴ = 10635448297 is a prime.

It is a super-2 number, since 2×10635448313² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10635442313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34197428 + ... + 34197738.

It is an arithmetic number, because the mean of its divisors is an integer number (271933168).

Almost surely, 2^10635448313 is an apocalyptic number.

It is an amenable number.

10635448313 is a deficient number, since it is larger than the sum of its proper divisors (2417343751).

10635448313 is a wasteful number, since it uses less digits than its factorization.

10635448313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 10635448313 in words is "ten billion, six hundred thirty-five million, four hundred forty-eight thousand, three hundred thirteen".