123000103033 has 24 divisors (see below), whose sum is σ = 131927229144. Its totient is φ = 114550824960.

The previous prime is 123000102997. The next prime is 123000103067. The reversal of 123000103033 is 330301000321.

It can be written as a sum of positive squares in 12 ways, for example, as 8348111424 + 114651991609 = 91368^2 + 338603^2 .

It is a de Polignac number, because none of the positive numbers 2^k-123000103033 is a prime.

It is a super-2 number, since 2×123000103033² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123000102998 and 123000103016.

It is not an unprimeable number, because it can be changed into a prime (123000103073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3277785 + ... + 3315097.

It is an arithmetic number, because the mean of its divisors is an integer number (5496967881).

Almost surely, 2^123000103033 is an apocalyptic number.

It is an amenable number.

123000103033 is a deficient number, since it is larger than the sum of its proper divisors (8927126111).

123000103033 is an equidigital number, since it uses as much as digits as its factorization.

123000103033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37485 (or 37444 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 123000103033 its reverse (330301000321), we get a palindrome (453301103354).

The spelling of 123000103033 in words is "one hundred twenty-three billion, one hundred three thousand, thirty-three".