1002312120033 has 24 divisors (see below), whose sum is σ = 1669790408000. Its totient is φ = 567495193824.

The previous prime is 1002312120031. The next prime is 1002312120059. The reversal of 1002312120033 is 3300212132001.

It is not a de Polignac number, because 1002312120033 - 2¹ = 1002312120031 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002312119988 and 1002312120015.

It is not an unprimeable number, because it can be changed into a prime (1002312120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72973483 + ... + 72987216.

Almost surely, 2^{1002312120033} is an apocalyptic number.

It is an amenable number.

1002312120033 is a deficient number, since it is larger than the sum of its proper divisors (667478287967).

1002312120033 is a wasteful number, since it uses less digits than its factorization.

1002312120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145960821 (or 145960818 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002312120033 its reverse (3300212132001), we get a palindrome (4302524252034).

The spelling of 1002312120033 in words is "one trillion, two billion, three hundred twelve million, one hundred twenty thousand, thirty-three".