33442123112031 has 32 divisors (see below), whose sum is σ = 46550081267712. Its totient is φ = 21315372249600.

The previous prime is 33442123111963. The next prime is 33442123112059. The reversal of 33442123112031 is 13021132124433.

It is not a de Polignac number, because 33442123112031 - 2¹³ = 33442123103839 is a prime.

It is a super-2 number, since 2×33442123112031² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33442123112031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33442123212031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2143580631 + ... + 2143596231.

It is an arithmetic number, because the mean of its divisors is an integer number (1454690039616).

Almost surely, 2^{33442123112031} is an apocalyptic number.

33442123112031 is a deficient number, since it is larger than the sum of its proper divisors (13107958155681).

33442123112031 is a wasteful number, since it uses less digits than its factorization.

33442123112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28263.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 33442123112031 its reverse (13021132124433), we get a palindrome (46463255236464).

The spelling of 33442123112031 in words is "thirty-three trillion, four hundred forty-two billion, one hundred twenty-three million, one hundred twelve thousand, thirty-one".