1321313301 has 48 divisors (see below), whose sum is σ = 2382981120. Its totient is φ = 685395360.

The previous prime is 1321313293. The next prime is 1321313309. The reversal of 1321313301 is 1033131231.

It is a happy number.

1321313301 is a `hidden beast` number, since 1 + 321 + 313 + 30 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1321313293) and next prime (1321313309).

It is not a de Polignac number, because 1321313301 - 2³ = 1321313293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321313309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846760 + ... + 848318.

It is an arithmetic number, because the mean of its divisors is an integer number (49645440).

Almost surely, 2^1321313301 is an apocalyptic number.

1321313301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1321313301 is a deficient number, since it is larger than the sum of its proper divisors (1061667819).

1321313301 is a wasteful number, since it uses less digits than its factorization.

1321313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1321313301 is about 36349.8734660796. The cubic root of 1321313301 is about 1097.3249879798.

Adding to 1321313301 its reverse (1033131231), we get a palindrome (2354444532).

The spelling of 1321313301 in words is "one billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred one".