2133000013 has 32 divisors (see below), whose sum is σ = 2472643584. Its totient is φ = 1828012032.

The previous prime is 2133000011. The next prime is 2133000017. The reversal of 2133000013 is 3100003312.

It is not a de Polignac number, because 2133000013 - 2¹ = 2133000011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2132999957 and 2133000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133000011) 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, 678381 + ... + 681517.

It is an arithmetic number, because the mean of its divisors is an integer number (77270112).

Almost surely, 2^2133000013 is an apocalyptic number.

2133000013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2133000013 is a deficient number, since it is larger than the sum of its proper divisors (339643571).

2133000013 is a wasteful number, since it uses less digits than its factorization.

2133000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261.

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

The square root of 2133000013 is about 46184.4130957621. The cubic root of 2133000013 is about 1287.2521307230.

Adding to 2133000013 its reverse (3100003312), we get a palindrome (5233003325).

The spelling of 2133000013 in words is "two billion, one hundred thirty-three million, thirteen", and thus it is an aban number.