33141133114133 has 32 divisors (see below), whose sum is σ = 36617657776128. Its totient is φ = 29743715656000.

The previous prime is 33141133114091. The next prime is 33141133114147.

33141133114133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 33141133114133 - 2²⁴ = 33141116336917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33141133114133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33141133111133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709226816 + ... + 709273542.

It is an arithmetic number, because the mean of its divisors is an integer number (1144301805504).

Almost surely, 2^{33141133114133} is an apocalyptic number.

It is an amenable number.

33141133114133 is a deficient number, since it is larger than the sum of its proper divisors (3476524661995).

33141133114133 is a wasteful number, since it uses less digits than its factorization.

33141133114133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48673.

The product of its digits is 11664, while the sum is 32.

It can be divided in two parts, 3314113 and 3114133, that added together give a palindrome (6428246).

The spelling of 33141133114133 in words is "thirty-three trillion, one hundred forty-one billion, one hundred thirty-three million, one hundred fourteen thousand, one hundred thirty-three".