1321001321 has 8 divisors (see below), whose sum is σ = 1335225288. Its totient is φ = 1306800000.

The previous prime is 1321001293. The next prime is 1321001333. The reversal of 1321001321 is 1231001231.

It can be written as a sum of positive squares in 4 ways, for example, as 1175461225 + 145540096 = 34285^2 + 12064^2 .

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 1321001321 - 2³⁰ = 247259497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1321001296 and 1321001305.

It is not an unprimeable number, because it can be changed into a prime (1321301321) 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, 128471 + ... + 138371.

It is an arithmetic number, because the mean of its divisors is an integer number (166903161).

Almost surely, 2^1321001321 is an apocalyptic number.

It is an amenable number.

1321001321 is a deficient number, since it is larger than the sum of its proper divisors (14223967).

1321001321 is a wasteful number, since it uses less digits than its factorization.

1321001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1321001321 is about 36345.5818635498. The cubic root of 1321001321 is about 1097.2386167417.

Adding to 1321001321 its reverse (1231001231), we get a palindrome (2552002552).

It can be divided in two parts, 132100 and 1321, that multiplied together give a square (174504100 = 13210²).

The spelling of 1321001321 in words is "one billion, three hundred twenty-one million, one thousand, three hundred twenty-one".