33144114113 has 32 divisors (see below), whose sum is σ = 37059628032. Its totient is φ = 29388686400.

The previous prime is 33144114103. The next prime is 33144114137. The reversal of 33144114113 is 31141144133.

It is a cyclic number.

It is not a de Polignac number, because 33144114113 - 2¹⁴ = 33144097729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33144114103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65892620 + ... + 65893122.

It is an arithmetic number, because the mean of its divisors is an integer number (1158113376).

Almost surely, 2^33144114113 is an apocalyptic number.

It is an amenable number.

33144114113 is a deficient number, since it is larger than the sum of its proper divisors (3915513919).

33144114113 is a wasteful number, since it uses less digits than its factorization.

33144114113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205.

The product of its digits is 1728, while the sum is 26.

Adding to 33144114113 its reverse (31141144133), we get a palindrome (64285258246).

The spelling of 33144114113 in words is "thirty-three billion, one hundred forty-four million, one hundred fourteen thousand, one hundred thirteen".