33124022042133 has 32 divisors (see below), whose sum is σ = 48669618216960. Its totient is φ = 19871494050240.

The previous prime is 33124022042087. The next prime is 33124022042147.

It is a happy number.

33124022042133 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-33124022042133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33124022042133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33124022032133) 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, 5564860 + ... + 9859802.

It is an arithmetic number, because the mean of its divisors is an integer number (1520925569280).

Almost surely, 2^{33124022042133} is an apocalyptic number.

33124022042133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33124022042133 is a deficient number, since it is larger than the sum of its proper divisors (15545596174827).

33124022042133 is a wasteful number, since it uses less digits than its factorization.

33124022042133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297329.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 3312402 and 2042133, that added together give a palindrome (5354535).

The spelling of 33124022042133 in words is "thirty-three trillion, one hundred twenty-four billion, twenty-two million, forty-two thousand, one hundred thirty-three".