2023213131013 has 2 divisors, whose sum is σ = 2023213131014. Its totient is φ = 2023213131012.

The previous prime is 2023213130909. The next prime is 2023213131029. The reversal of 2023213131013 is 3101313123202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1820022242724 + 203190888289 = 1349082^2 + 450767^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2023213131013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2023213131113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011606565506 + 1011606565507.

It is an arithmetic number, because the mean of its divisors is an integer number (1011606565507).

Almost surely, 2^{2023213131013} is an apocalyptic number.

It is an amenable number.

2023213131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023213131013 is an equidigital number, since it uses as much as digits as its factorization.

2023213131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2023213131013 its reverse (3101313123202), we get a palindrome (5124526254215).

The spelling of 2023213131013 in words is "two trillion, twenty-three billion, two hundred thirteen million, one hundred thirty-one thousand, thirteen".