33042144124033 has 12 divisors (see below), whose sum is σ = 36319242822100. Its totient is φ = 30038154173280.

The previous prime is 33042144123979. The next prime is 33042144124037.

33042144124033 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 23220332287504 + 9821811836529 = 4818748^2 + 3133977^2 .

It is a de Polignac number, because none of the positive numbers 2^k-33042144124033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33042144124033.

It is not an unprimeable number, because it can be changed into a prime (33042144124037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26512891 + ... + 27731167.

Almost surely, 2^{33042144124033} is an apocalyptic number.

It is an amenable number.

33042144124033 is a deficient number, since it is larger than the sum of its proper divisors (3277098698067).

33042144124033 is a wasteful number, since it uses less digits than its factorization.

33042144124033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442448 (or 1442437 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 3304214 and 4124033, that added together give a palindrome (7428247).

The spelling of 33042144124033 in words is "thirty-three trillion, forty-two billion, one hundred forty-four million, one hundred twenty-four thousand, thirty-three".