10323230100313 has 48 divisors (see below), whose sum is σ = 11690709179760. Its totient is φ = 9104973696000.

The previous prime is 10323230100263. The next prime is 10323230100347. The reversal of 10323230100313 is 31300103232301.

It can be written as a sum of positive squares in 24 ways, for example, as 8404154616064 + 1919075484249 = 2898992^2 + 1385307^2 .

It is not a de Polignac number, because 10323230100313 - 2¹³ = 10323230092121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10323230100913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55090543 + ... + 55277611.

It is an arithmetic number, because the mean of its divisors is an integer number (243556441245).

Almost surely, 2^{10323230100313} is an apocalyptic number.

10323230100313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10323230100313 is a deficient number, since it is larger than the sum of its proper divisors (1367479079447).

10323230100313 is a wasteful number, since it uses less digits than its factorization.

10323230100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187310 (or 187297 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10323230100313 its reverse (31300103232301), we get a palindrome (41623333332614).

The spelling of 10323230100313 in words is "ten trillion, three hundred twenty-three billion, two hundred thirty million, one hundred thousand, three hundred thirteen".