33013431033 has 12 divisors (see below), whose sum is σ = 48383320944. Its totient is φ = 20008139800.

The previous prime is 33013431001. The next prime is 33013431043.

33013431033 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33013431033 - 2⁵ = 33013431001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33013430994 and 33013431012.

It is not an unprimeable number, because it can be changed into a prime (33013431043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45472683 + ... + 45473408.

It is an arithmetic number, because the mean of its divisors is an integer number (4031943412).

Almost surely, 2^33013431033 is an apocalyptic number.

33013431033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33013431033 is a deficient number, since it is larger than the sum of its proper divisors (15369889911).

33013431033 is a wasteful number, since it uses less digits than its factorization.

33013431033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90946116 (or 90946105 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

The spelling of 33013431033 in words is "thirty-three billion, thirteen million, four hundred thirty-one thousand, thirty-three".