10323323314213 has 24 divisors (see below), whose sum is σ = 12932888968440. Its totient is φ = 8167667921280.

The previous prime is 10323323314201. The next prime is 10323323314243. The reversal of 10323323314213 is 31241332332301.

It can be written as a sum of positive squares in 4 ways, for example, as 3376946496609 + 6946376817604 = 1837647^2 + 2635598^2 .

It is not a de Polignac number, because 10323323314213 - 2³⁷ = 10185884360741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323323314243) 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 23 ways as a sum of consecutive naturals, for example, 23728623 + ... + 24159763.

It is an arithmetic number, because the mean of its divisors is an integer number (538870373685).

Almost surely, 2^{10323323314213} is an apocalyptic number.

10323323314213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10323323314213 is a deficient number, since it is larger than the sum of its proper divisors (2609565654227).

10323323314213 is a wasteful number, since it uses less digits than its factorization.

10323323314213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468757 (or 468750 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 10323323314213 its reverse (31241332332301), we get a palindrome (41564655646514).

The spelling of 10323323314213 in words is "ten trillion, three hundred twenty-three billion, three hundred twenty-three million, three hundred fourteen thousand, two hundred thirteen".