10213232312313 has 16 divisors (see below), whose sum is σ = 15133452357760. Its totient is φ = 6807589522128.

The previous prime is 10213232312299. The next prime is 10213232312329. The reversal of 10213232312313 is 31321323231201.

10213232312313 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 2 + 32 + 312 + 313 = 666.

It is not a de Polignac number, because 10213232312313 - 2¹⁷ = 10213232181241 is a prime.

It is a super-2 number, since 2×10213232312313² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10213232312513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34070770 + ... + 34369227.

It is an arithmetic number, because the mean of its divisors is an integer number (945840772360).

Almost surely, 2^{10213232312313} is an apocalyptic number.

It is an amenable number.

10213232312313 is a deficient number, since it is larger than the sum of its proper divisors (4920220045447).

10213232312313 is an equidigital number, since it uses as much as digits as its factorization.

10213232312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68445533 (or 68445527 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10213232312313 its reverse (31321323231201), we get a palindrome (41534555543514).

The spelling of 10213232312313 in words is "ten trillion, two hundred thirteen billion, two hundred thirty-two million, three hundred twelve thousand, three hundred thirteen".