10313564205 has 64 divisors (see below), whose sum is σ = 20357775360. Its totient is φ = 4354242816.

The previous prime is 10313564201. The next prime is 10313564221. The reversal of 10313564205 is 50246531301.

10313564205 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10313564205 - 2² = 10313564201 is a prime.

It is a super-2 number, since 2×10313564205² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313564201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3597 + ... + 143666.

It is an arithmetic number, because the mean of its divisors is an integer number (318090240).

Almost surely, 2^10313564205 is an apocalyptic number.

10313564205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10313564205 is a deficient number, since it is larger than the sum of its proper divisors (10044211155).

10313564205 is a wasteful number, since it uses less digits than its factorization.

10313564205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147330.

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 10313564205 in words is "ten billion, three hundred thirteen million, five hundred sixty-four thousand, two hundred five".