1000123133 has 2 divisors, whose sum is σ = 1000123134. Its totient is φ = 1000123132.

The previous prime is 1000123123. The next prime is 1000123139. The reversal of 1000123133 is 3313210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 793999684 + 206123449 = 28178^2 + 14357^2 .

It is an emirp because it is prime and its reverse (3313210001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000123133 is a prime.

It is a super-3 number, since 3×1000123133³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000123139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500061566 + 500061567.

It is an arithmetic number, because the mean of its divisors is an integer number (500061567).

Almost surely, 2^1000123133 is an apocalyptic number.

It is an amenable number.

1000123133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000123133 is an equidigital number, since it uses as much as digits as its factorization.

1000123133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1000123133 is about 31624.7234454311. The cubic root of 1000123133 is about 1000.0410426488.

Adding to 1000123133 its reverse (3313210001), we get a palindrome (4313333134).

The spelling of 1000123133 in words is "one billion, one hundred twenty-three thousand, one hundred thirty-three".