33113133130013 has 64 divisors (see below), whose sum is σ = 38815801344000. Its totient is φ = 28031638118400.

The previous prime is 33113133129997. The next prime is 33113133130087. The reversal of 33113133130013 is 31003133131133.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 33113133130013 - 2⁴ = 33113133129997 is a prime.

It is a super-2 number, since 2×33113133130013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33113133130093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2924924393 + ... + 2924935713.

It is an arithmetic number, because the mean of its divisors is an integer number (606496896000).

Almost surely, 2^{33113133130013} is an apocalyptic number.

It is an amenable number.

33113133130013 is a deficient number, since it is larger than the sum of its proper divisors (5702668213987).

33113133130013 is a wasteful number, since it uses less digits than its factorization.

33113133130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16566.

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 33113133130013 its reverse (31003133131133), we get a palindrome (64116266261146).

The spelling of 33113133130013 in words is "thirty-three trillion, one hundred thirteen billion, one hundred thirty-three million, one hundred thirty thousand, thirteen".