1321323133 has 8 divisors (see below), whose sum is σ = 1424433528. Its totient is φ = 1218422784.

The previous prime is 1321323131. The next prime is 1321323139. The reversal of 1321323133 is 3313231231.

It can be written as a sum of positive squares in 4 ways, for example, as 215561124 + 1105762009 = 14682^2 + 33253^2 .

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 1321323133 - 2¹ = 1321323131 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 (1321323131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39316 + ... + 64717.

It is an arithmetic number, because the mean of its divisors is an integer number (178054191).

Almost surely, 2^1321323133 is an apocalyptic number.

1321323133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1321323133 is a deficient number, since it is larger than the sum of its proper divisors (103110395).

1321323133 is a wasteful number, since it uses less digits than its factorization.

1321323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105023.

The product of its digits is 972, while the sum is 22.

The square root of 1321323133 is about 36350.0087070141. The cubic root of 1321323133 is about 1097.3277097347.

Adding to 1321323133 its reverse (3313231231), we get a palindrome (4634554364).

The spelling of 1321323133 in words is "one billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred thirty-three".