33145316121 has 32 divisors (see below), whose sum is σ = 45495014400. Its totient is φ = 21456705600.

The previous prime is 33145316111. The next prime is 33145316131. The reversal of 33145316121 is 12161354133.

It is an interprime number because it is at equal distance from previous prime (33145316111) and next prime (33145316131).

It is not a de Polignac number, because 33145316121 - 2⁵ = 33145316089 is a prime.

It is a super-3 number, since 3×33145316121³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33145316111) 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, 6692196 + ... + 6697146.

It is an arithmetic number, because the mean of its divisors is an integer number (1421719200).

Almost surely, 2^33145316121 is an apocalyptic number.

It is an amenable number.

33145316121 is a deficient number, since it is larger than the sum of its proper divisors (12349698279).

33145316121 is a wasteful number, since it uses less digits than its factorization.

33145316121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469.

The product of its digits is 6480, while the sum is 30.

The spelling of 33145316121 in words is "thirty-three billion, one hundred forty-five million, three hundred sixteen thousand, one hundred twenty-one".