2023013330001 has 12 divisors (see below), whose sum is σ = 2922143236740. Its totient is φ = 1348669612800.

The previous prime is 2023013329993. The next prime is 2023013330021. The reversal of 2023013330001 is 1000333103202.

2023013330001 is a `hidden beast` number, since 2 + 0 + 230 + 133 + 300 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 814000928400 + 1209012401601 = 902220^2 + 1099551^2 .

It is not a de Polignac number, because 2023013330001 - 2³ = 2023013329993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2023013330021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2854665 + ... + 3492153.

It is an arithmetic number, because the mean of its divisors is an integer number (243511936395).

Almost surely, 2^{2023013330001} is an apocalyptic number.

It is an amenable number.

2023013330001 is a deficient number, since it is larger than the sum of its proper divisors (899129906739).

2023013330001 is a wasteful number, since it uses less digits than its factorization.

2023013330001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990096 (or 990093 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2023013330001 its reverse (1000333103202), we get a palindrome (3023346433203).

The spelling of 2023013330001 in words is "two trillion, twenty-three billion, thirteen million, three hundred thirty thousand, one".