2023001023013 has 8 divisors (see below), whose sum is σ = 2054058783768. Its totient is φ = 1992033679104.

The previous prime is 2023001022961. The next prime is 2023001023033. The reversal of 2023001023013 is 3103201003202.

It can be written as a sum of positive squares in 4 ways, for example, as 6422099044 + 2016578923969 = 80138^2 + 1420063^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2023001023013 is a prime.

It is a super-2 number, since 2×2023001023013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2023001022982 and 2023001023000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023001023033) 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 7 ways as a sum of consecutive naturals, for example, 22559120 + ... + 22648617.

It is an arithmetic number, because the mean of its divisors is an integer number (256757347971).

Almost surely, 2^{2023001023013} is an apocalyptic number.

It is an amenable number.

2023001023013 is a deficient number, since it is larger than the sum of its proper divisors (31057760755).

2023001023013 is an equidigital number, since it uses as much as digits as its factorization.

2023001023013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45208423.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2023001023013 its reverse (3103201003202), we get a palindrome (5126202026215).

The spelling of 2023001023013 in words is "two trillion, twenty-three billion, one million, twenty-three thousand, thirteen".