2023013329993 has 2 divisors, whose sum is σ = 2023013329994. Its totient is φ = 2023013329992.

The previous prime is 2023013329973. The next prime is 2023013330021. The reversal of 2023013329993 is 3999233103202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1969090917049 + 53922412944 = 1403243^2 + 232212^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023013329993 - 2⁹ = 2023013329481 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023013329913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011506664996 + 1011506664997.

It is an arithmetic number, because the mean of its divisors is an integer number (1011506664997).

Almost surely, 2^{2023013329993} is an apocalyptic number.

It is an amenable number.

2023013329993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023013329993 is an equidigital number, since it uses as much as digits as its factorization.

2023013329993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 472392, while the sum is 46.

The spelling of 2023013329993 in words is "two trillion, twenty-three billion, thirteen million, three hundred twenty-nine thousand, nine hundred ninety-three".