1313301321 has 6 divisors (see below), whose sum is σ = 1896990810. Its totient is φ = 875534208.

The previous prime is 1313301263. The next prime is 1313301349. The reversal of 1313301321 is 1231033131.

It is a happy number.

1313301321 is a `hidden beast` number, since 1 + 313 + 30 + 1 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1290605625 + 22695696 = 35925^2 + 4764^2 .

It is not a de Polignac number, because 1313301321 - 2⁹ = 1313300809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313301294 and 1313301303.

It is not an unprimeable number, because it can be changed into a prime (1313300321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72961176 + ... + 72961193.

It is an arithmetic number, because the mean of its divisors is an integer number (316165135).

Almost surely, 2^1313301321 is an apocalyptic number.

It is an amenable number.

1313301321 is a deficient number, since it is larger than the sum of its proper divisors (583689489).

1313301321 is a wasteful number, since it uses less digits than its factorization.

1313301321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145922375 (or 145922372 counting only the distinct ones).

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

The square root of 1313301321 is about 36239.4994584638. The cubic root of 1313301321 is about 1095.1025587307.

Adding to 1313301321 its reverse (1231033131), we get a palindrome (2544334452).

It can be divided in two parts, 131330 and 1321, that added together give a cube (132651 = 51³).

The spelling of 1313301321 in words is "one billion, three hundred thirteen million, three hundred one thousand, three hundred twenty-one".