1000123032033 has 16 divisors (see below), whose sum is σ = 1481908775040. Its totient is φ = 666638427312.

The previous prime is 1000123032017. The next prime is 1000123032043. The reversal of 1000123032033 is 3302303210001.

It is not a de Polignac number, because 1000123032033 - 2⁴ = 1000123032017 is a prime.

It is a super-2 number, since 2×1000123032033² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000123031997 and 1000123032015.

It is not an unprimeable number, because it can be changed into a prime (1000123032043) 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 15 ways as a sum of consecutive naturals, for example, 2896341 + ... + 3223202.

It is an arithmetic number, because the mean of its divisors is an integer number (92619298440).

Almost surely, 2^{1000123032033} is an apocalyptic number.

It is an amenable number.

1000123032033 is a deficient number, since it is larger than the sum of its proper divisors (481785743007).

1000123032033 is an equidigital number, since it uses as much as digits as its factorization.

1000123032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125605 (or 6125599 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1000123032033 its reverse (3302303210001), we get a palindrome (4302426242034).

The spelling of 1000123032033 in words is "one trillion, one hundred twenty-three million, thirty-two thousand, thirty-three".