1003122133 has 8 divisors (see below), whose sum is σ = 1109482808. Its totient is φ = 900932544.

The previous prime is 1003122101. The next prime is 1003122163. The reversal of 1003122133 is 3312213001.

It can be written as a sum of positive squares in 4 ways, for example, as 127080529 + 876041604 = 11273^2 + 29598^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003122133 - 2⁵ = 1003122101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003122163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1042266 + ... + 1043227.

It is an arithmetic number, because the mean of its divisors is an integer number (138685351).

Almost surely, 2^1003122133 is an apocalyptic number.

1003122133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003122133 is a deficient number, since it is larger than the sum of its proper divisors (106360675).

1003122133 is a wasteful number, since it uses less digits than its factorization.

1003122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085543.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1003122133 is about 31672.1033876817. The cubic root of 1003122133 is about 1001.0396297953.

Adding to 1003122133 its reverse (3312213001), we get a palindrome (4315335134).

The spelling of 1003122133 in words is "one billion, three million, one hundred twenty-two thousand, one hundred thirty-three".