33140355304133 has 96 divisors (see below), whose sum is σ = 44843907771648. Its totient is φ = 24133165056000.

The previous prime is 33140355304123. The next prime is 33140355304169.

33140355304133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33140355304133 - 2⁴ = 33140355304117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33140355304123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4749939941 + ... + 4749946917.

It is an arithmetic number, because the mean of its divisors is an integer number (467124039288).

Almost surely, 2^{33140355304133} is an apocalyptic number.

It is an amenable number.

33140355304133 is a deficient number, since it is larger than the sum of its proper divisors (11703552467515).

33140355304133 is a wasteful number, since it uses less digits than its factorization.

33140355304133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10603 (or 10596 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 38.

It can be divided in two parts, 3314035 and 5304133, that added together give a palindrome (8618168).

The spelling of 33140355304133 in words is "thirty-three trillion, one hundred forty billion, three hundred fifty-five million, three hundred four thousand, one hundred thirty-three".