1322013330 has 288 divisors, whose sum is σ = 4129764912. Its totient is φ = 291962880.

The previous prime is 1322013311. The next prime is 1322013359. The reversal of 1322013330 is 333102231.

1322013330 is a `hidden beast` number, since 1 + 322 + 0 + 13 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 880130889 + 441882441 = 29667^2 + 21021^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6849714 + ... + 6849906.

Almost surely, 2^1322013330 is an apocalyptic number.

1322013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064882456).

1322013330 is an abundant number, since it is smaller than the sum of its proper divisors (2807751582).

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

1322013330 is a wasteful number, since it uses less digits than its factorization.

1322013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1322013330 is about 36359.5012342029. The cubic root of 1322013330 is about 1097.5187405887.

Adding to 1322013330 its reverse (333102231), we get a palindrome (1655115561).

It can be divided in two parts, 132201 and 3330, that added together give a palindrome (135531).

The spelling of 1322013330 in words is "one billion, three hundred twenty-two million, thirteen thousand, three hundred thirty".