10212320313 has 12 divisors (see below), whose sum is σ = 15885831780. Its totient is φ = 6284504736.

The previous prime is 10212320281. The next prime is 10212320329. The reversal of 10212320313 is 31302321201.

10212320313 is a `hidden beast` number, since 10 + 21 + 2 + 320 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3124027449 + 7088292864 = 55893^2 + 84192^2 .

It is not a de Polignac number, because 10212320313 - 2⁵ = 10212320281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10212320513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43642278 + ... + 43642511.

It is an arithmetic number, because the mean of its divisors is an integer number (1323819315).

Almost surely, 2^10212320313 is an apocalyptic number.

10212320313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10212320313 is a deficient number, since it is larger than the sum of its proper divisors (5673511467).

10212320313 is a wasteful number, since it uses less digits than its factorization.

10212320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87284808 (or 87284805 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10212320313 its reverse (31302321201), we get a palindrome (41514641514).

The spelling of 10212320313 in words is "ten billion, two hundred twelve million, three hundred twenty thousand, three hundred thirteen".