1331030313 has 48 divisors (see below), whose sum is σ = 2171332800. Its totient is φ = 811581120.

The previous prime is 1331030297. The next prime is 1331030329. The reversal of 1331030313 is 3130301331.

1331030313 is a `hidden beast` number, since 13 + 310 + 30 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (1331030297) and next prime (1331030329).

It is not a de Polignac number, because 1331030313 - 2⁴ = 1331030297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331030713) 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 47 ways as a sum of consecutive naturals, for example, 128923 + ... + 138863.

It is an arithmetic number, because the mean of its divisors is an integer number (45236100).

Almost surely, 2^1331030313 is an apocalyptic number.

It is an amenable number.

1331030313 is a deficient number, since it is larger than the sum of its proper divisors (840302487).

1331030313 is an equidigital number, since it uses as much as digits as its factorization.

1331030313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1331030313 is about 36483.2881330617. The cubic root of 1331030313 is about 1100.0083506253.

Adding to 1331030313 its reverse (3130301331), we get a palindrome (4461331644).

The spelling of 1331030313 in words is "one billion, three hundred thirty-one million, thirty thousand, three hundred thirteen".