10123223320313 has 8 divisors (see below), whose sum is σ = 10171711714632. Its totient is φ = 10074805456896.

The previous prime is 10123223320283. The next prime is 10123223320319. The reversal of 10123223320313 is 31302332232101.

It can be written as a sum of positive squares in 4 ways, for example, as 132079911184 + 9991143409129 = 363428^2 + 3160877^2 .

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 10123223320313 - 2⁸ = 10123223320057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10123223320319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17344970 + ... + 17919107.

It is an arithmetic number, because the mean of its divisors is an integer number (1271463964329).

Almost surely, 2^{10123223320313} is an apocalyptic number.

It is an amenable number.

10123223320313 is a deficient number, since it is larger than the sum of its proper divisors (48488394319).

10123223320313 is a wasteful number, since it uses less digits than its factorization.

10123223320313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35265451.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 10123223320313 its reverse (31302332232101), we get a palindrome (41425555552414).

The spelling of 10123223320313 in words is "ten trillion, one hundred twenty-three billion, two hundred twenty-three million, three hundred twenty thousand, three hundred thirteen".