33001000013 has 4 divisors (see below), whose sum is σ = 33493552320. Its totient is φ = 32508447708.

The previous prime is 33000999991. The next prime is 33001000037. The reversal of 33001000013 is 31000010033.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31000010033 = 37 ⋅837838109.

It is a cyclic number.

It is not a de Polignac number, because 33001000013 - 2⁶ = 33000999949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33000999958 and 33001000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33001000073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 246276053 + ... + 246276186.

It is an arithmetic number, because the mean of its divisors is an integer number (8373388080).

Almost surely, 2^33001000013 is an apocalyptic number.

It is an amenable number.

33001000013 is a deficient number, since it is larger than the sum of its proper divisors (492552307).

33001000013 is an equidigital number, since it uses as much as digits as its factorization.

33001000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492552306.

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 33001000013 its reverse (31000010033), we get a palindrome (64001010046).

The spelling of 33001000013 in words is "thirty-three billion, one million, thirteen", and thus it is an aban number and an uban number.