10002312210313 has 16 divisors (see below), whose sum is σ = 11039512239360. Its totient is φ = 9019938054400.

The previous prime is 10002312210257. The next prime is 10002312210343. The reversal of 10002312210313 is 31301221320001.

It is a cyclic number.

It is not a de Polignac number, because 10002312210313 - 2²¹ = 10002310113161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002312210343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77373073 + ... + 77502238.

It is an arithmetic number, because the mean of its divisors is an integer number (689969514960).

Almost surely, 2^{10002312210313} is an apocalyptic number.

It is an amenable number.

10002312210313 is a deficient number, since it is larger than the sum of its proper divisors (1037200029047).

10002312210313 is a wasteful number, since it uses less digits than its factorization.

10002312210313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154875488.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10002312210313 its reverse (31301221320001), we get a palindrome (41303533530314).

The spelling of 10002312210313 in words is "ten trillion, two billion, three hundred twelve million, two hundred ten thousand, three hundred thirteen".