1330312100 has 36 divisors (see below), whose sum is σ = 3108840084. Its totient is φ = 491191680.

The previous prime is 1330312079. The next prime is 1330312127. The reversal of 1330312100 is 12130331.

It can be written as a sum of positive squares in 6 ways, for example, as 10588516 + 1319723584 = 3254^2 + 36328^2 .

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 11 ways as a sum of consecutive naturals, for example, 510359 + ... + 512958.

It is an arithmetic number, because the mean of its divisors is an integer number (86356669).

Almost surely, 2^1330312100 is an apocalyptic number.

1330312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330312100 is an abundant number, since it is smaller than the sum of its proper divisors (1778527984).

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

1330312100 is a wasteful number, since it uses less digits than its factorization.

1330312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023344 (or 1023337 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1330312100 is about 36473.4437639223. The cubic root of 1330312100 is about 1099.8104632113.

Adding to 1330312100 its reverse (12130331), we get a palindrome (1342442431).

The spelling of 1330312100 in words is "one billion, three hundred thirty million, three hundred twelve thousand, one hundred".