33113113130133 has 24 divisors (see below), whose sum is σ = 48997468630656. Its totient is φ = 21536619451200.

The previous prime is 33113113130063. The next prime is 33113113130219. The reversal of 33113113130133 is 33103131131133.

33113113130133 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 311 + 313 + 0 + 1 + 33 = 666.

It is not a de Polignac number, because 33113113130133 - 2¹³ = 33113113121941 is a prime.

It is a super-2 number, since 2×33113113130133² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33113113130097 and 33113113130106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33113113830133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21981828 + ... + 23439858.

It is an arithmetic number, because the mean of its divisors is an integer number (2041561192944).

Almost surely, 2^{33113113130133} is an apocalyptic number.

It is an amenable number.

33113113130133 is a deficient number, since it is larger than the sum of its proper divisors (15884355500523).

33113113130133 is a wasteful number, since it uses less digits than its factorization.

33113113130133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519625 (or 1519622 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 33113113130133 its reverse (33103131131133), we get a palindrome (66216244261266).

It can be divided in two parts, 3311311 and 3130133, that added together give a square (6441444 = 2538²).

The spelling of 33113113130133 in words is "thirty-three trillion, one hundred thirteen billion, one hundred thirteen million, one hundred thirty thousand, one hundred thirty-three".