1311213312 has 72 divisors (see below), whose sum is σ = 3877508880. Its totient is φ = 437068800.

The previous prime is 1311213301. The next prime is 1311213347. The reversal of 1311213312 is 2133121131.

1311213312 is a `hidden beast` number, since 1 + 311 + 21 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87939 + ... + 101762.

It is an arithmetic number, because the mean of its divisors is an integer number (53854290).

Almost surely, 2^1311213312 is an apocalyptic number.

1311213312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311213312 is an abundant number, since it is smaller than the sum of its proper divisors (2566295568).

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

1311213312 is an equidigital number, since it uses as much as digits as its factorization.

1311213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189726 (or 189706 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1311213312 is about 36210.6795296636. The cubic root of 1311213312 is about 1094.5218854707.

Adding to 1311213312 its reverse (2133121131), we get a palindrome (3444334443).

The spelling of 1311213312 in words is "one billion, three hundred eleven million, two hundred thirteen thousand, three hundred twelve".