1311332100 has 72 divisors (see below), whose sum is σ = 4085988480. Its totient is φ = 322788480.

The previous prime is 1311332093. The next prime is 1311332123. The reversal of 1311332100 is 12331131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311332100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 164220 + ... + 172019.

It is an arithmetic number, because the mean of its divisors is an integer number (56749840).

Almost surely, 2^1311332100 is an apocalyptic number.

1311332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311332100 is an abundant number, since it is smaller than the sum of its proper divisors (2774656380).

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

1311332100 is a wasteful number, since it uses less digits than its factorization.

1311332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336269 (or 336262 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1311332100 is about 36212.3197268554. The cubic root of 1311332100 is about 1094.5549368282.

Adding to 1311332100 its reverse (12331131), we get a palindrome (1323663231).

The spelling of 1311332100 in words is "one billion, three hundred eleven million, three hundred thirty-two thousand, one hundred".