1313031321 has 48 divisors (see below), whose sum is σ = 2240120064. Its totient is φ = 725438592.

The previous prime is 1313031287. The next prime is 1313031367. The reversal of 1313031321 is 1231303131.

It is a happy number.

1313031321 is a `hidden beast` number, since 1 + 313 + 0 + 31 + 321 = 666.

It is not a de Polignac number, because 1313031321 - 2¹⁷ = 1312900249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313031294 and 1313031303.

It is not an unprimeable number, because it can be changed into a prime (1313031121) 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, 387591 + ... + 390963.

It is an arithmetic number, because the mean of its divisors is an integer number (46669168).

Almost surely, 2^1313031321 is an apocalyptic number.

It is an amenable number.

1313031321 is a deficient number, since it is larger than the sum of its proper divisors (927088743).

1313031321 is a wasteful number, since it uses less digits than its factorization.

1313031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3587 counting only the distinct ones).

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

The square root of 1313031321 is about 36235.7740499634. The cubic root of 1313031321 is about 1095.0275066587.

Adding to 1313031321 its reverse (1231303131), we get a palindrome (2544334452).

The spelling of 1313031321 in words is "one billion, three hundred thirteen million, thirty-one thousand, three hundred twenty-one".