2013100033 has 32 divisors (see below), whose sum is σ = 2525831424. Its totient is φ = 1564987392.

The previous prime is 2013099971. The next prime is 2013100043. The reversal of 2013100033 is 3300013102.

It is a cyclic number.

It is not a de Polignac number, because 2013100033 - 2⁹ = 2013099521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013099986 and 2013100022.

It is not an unprimeable number, because it can be changed into a prime (2013100043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468985 + ... + 473257.

It is an arithmetic number, because the mean of its divisors is an integer number (78932232).

Almost surely, 2^2013100033 is an apocalyptic number.

It is an amenable number.

2013100033 is a deficient number, since it is larger than the sum of its proper divisors (512731391).

2013100033 is a wasteful number, since it uses less digits than its factorization.

2013100033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2013100033 is about 44867.5833202547. The cubic root of 2013100033 is about 1262.6659002064.

Adding to 2013100033 its reverse (3300013102), we get a palindrome (5313113135).

The spelling of 2013100033 in words is "two billion, thirteen million, one hundred thousand, thirty-three".