2013000022033 has 64 divisors (see below), whose sum is σ = 2788617000960. Its totient is φ = 1402430630400.

The previous prime is 2013000021997. The next prime is 2013000022069. The reversal of 2013000022033 is 3302200003102.

It is an interprime number because it is at equal distance from previous prime (2013000021997) and next prime (2013000022069).

It is a cyclic number.

It is not a de Polignac number, because 2013000022033 - 2¹⁷ = 2012999890961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013000021998 and 2013000022016.

It is not an unprimeable number, because it can be changed into a prime (2013000020033) 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 63 ways as a sum of consecutive naturals, for example, 5528266 + ... + 5881132.

It is an arithmetic number, because the mean of its divisors is an integer number (43572140640).

Almost surely, 2^{2013000022033} is an apocalyptic number.

It is an amenable number.

2013000022033 is a deficient number, since it is larger than the sum of its proper divisors (775616978927).

2013000022033 is a wasteful number, since it uses less digits than its factorization.

2013000022033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353078.

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 2013000022033 its reverse (3302200003102), we get a palindrome (5315200025135).

The spelling of 2013000022033 in words is "two trillion, thirteen billion, twenty-two thousand, thirty-three".