1330122313 has 16 divisors (see below), whose sum is σ = 1530642960. Its totient is φ = 1144958976.

The previous prime is 1330122271. The next prime is 1330122317. The reversal of 1330122313 is 3132210331.

It can be written as a sum of positive squares in 8 ways, for example, as 25684624 + 1304437689 = 5068^2 + 36117^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1330122313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330122317) 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 15 ways as a sum of consecutive naturals, for example, 3520 + ... + 51697.

It is an arithmetic number, because the mean of its divisors is an integer number (95665185).

Almost surely, 2^1330122313 is an apocalyptic number.

1330122313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1330122313 is a deficient number, since it is larger than the sum of its proper divisors (200520647).

1330122313 is a wasteful number, since it uses less digits than its factorization.

1330122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55356.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1330122313 is about 36470.8419562806. The cubic root of 1330122313 is about 1099.7581597818.

Adding to 1330122313 its reverse (3132210331), we get a palindrome (4462332644).

The spelling of 1330122313 in words is "one billion, three hundred thirty million, one hundred twenty-two thousand, three hundred thirteen".