23002001322313 has 8 divisors (see below), whose sum is σ = 24806324534600. Its totient is φ = 21202669323648.

The previous prime is 23002001322271. The next prime is 23002001322329. The reversal of 23002001322313 is 31322310020032.

It can be written as a sum of positive squares in 4 ways, for example, as 2061831784464 + 20940169537849 = 1435908^2 + 4576043^2 .

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 23002001322313 - 2¹⁷ = 23002001191241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23002001322343) 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, 1247793828 + ... + 1247812261.

It is an arithmetic number, because the mean of its divisors is an integer number (3100790566825).

Almost surely, 2^{23002001322313} is an apocalyptic number.

It is an amenable number.

23002001322313 is a deficient number, since it is larger than the sum of its proper divisors (1804323212287).

23002001322313 is a wasteful number, since it uses less digits than its factorization.

23002001322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495606811.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23002001322313 its reverse (31322310020032), we get a palindrome (54324311342345).

The spelling of 23002001322313 in words is "twenty-three trillion, two billion, one million, three hundred twenty-two thousand, three hundred thirteen".