1331322320 has 40 divisors (see below), whose sum is σ = 3115069224. Its totient is φ = 529132032.

The previous prime is 1331322313. The next prime is 1331322337. The reversal of 1331322320 is 232231331.

It can be written as a sum of positive squares in 4 ways, for example, as 26956864 + 1304365456 = 5192^2 + 36116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1331322292 and 1331322301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40439 + ... + 65558.

Almost surely, 2^1331322320 is an apocalyptic number.

1331322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331322320 is an abundant number, since it is smaller than the sum of its proper divisors (1783746904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331322320 is a wasteful number, since it uses less digits than its factorization.

1331322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106167 (or 106161 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1331322320 is about 36487.2898418066. The cubic root of 1331322320 is about 1100.0887862219.

Adding to 1331322320 its reverse (232231331), we get a palindrome (1563553651).

The spelling of 1331322320 in words is "one billion, three hundred thirty-one million, three hundred twenty-two thousand, three hundred twenty".