33113120013 has 24 divisors (see below), whose sum is σ = 51473832696. Its totient is φ = 20436249600.

The previous prime is 33113120009. The next prime is 33113120021. The reversal of 33113120013 is 31002131133.

It is a happy number.

33113120013 is a `hidden beast` number, since 331 + 131 + 200 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104407524 + 33008712489 = 10218^2 + 181683^2 .

It is not a de Polignac number, because 33113120013 - 2² = 33113120009 is a prime.

It is a super-2 number, since 2×33113120013² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33113120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764648 + ... + 1783313.

It is an arithmetic number, because the mean of its divisors is an integer number (2144743029).

Almost surely, 2^33113120013 is an apocalyptic number.

It is an amenable number.

33113120013 is a deficient number, since it is larger than the sum of its proper divisors (18360712683).

33113120013 is a wasteful number, since it uses less digits than its factorization.

33113120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548045 (or 3548042 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 33113120013 its reverse (31002131133), we get a palindrome (64115251146).

The spelling of 33113120013 in words is "thirty-three billion, one hundred thirteen million, one hundred twenty thousand, thirteen".