10013213122313 has 8 divisors (see below), whose sum is σ = 10025382077568. Its totient is φ = 10001046044304.

The previous prime is 10013213122223. The next prime is 10013213122321. The reversal of 10013213122313 is 31322131231001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10013213122313 - 2⁸ = 10013213122057 is a prime.

It is a super-2 number, since 2×10013213122313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10013213122333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10356656 + ... + 11282142.

It is an arithmetic number, because the mean of its divisors is an integer number (1253172759696).

Almost surely, 2^{10013213122313} is an apocalyptic number.

It is an amenable number.

10013213122313 is a deficient number, since it is larger than the sum of its proper divisors (12168955255).

10013213122313 is an equidigital number, since it uses as much as digits as its factorization.

10013213122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938623.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10013213122313 its reverse (31322131231001), we get a palindrome (41335344353314).

The spelling of 10013213122313 in words is "ten trillion, thirteen billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred thirteen".