1311132312 has 64 divisors (see below), whose sum is σ = 4162329600. Its totient is φ = 374608800.

The previous prime is 1311132301. The next prime is 1311132323. The reversal of 1311132312 is 2132311131.

It is an interprime number because it is at equal distance from previous prime (1311132301) and next prime (1311132323).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432064 + ... + 435087.

It is an arithmetic number, because the mean of its divisors is an integer number (65036400).

Almost surely, 2^1311132312 is an apocalyptic number.

1311132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311132312 is an abundant number, since it is smaller than the sum of its proper divisors (2851197288).

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

1311132312 is a wasteful number, since it uses less digits than its factorization.

1311132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867173 (or 867163 counting only the distinct ones).

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

The square root of 1311132312 is about 36209.5610578201. The cubic root of 1311132312 is about 1094.4993470331.

Adding to 1311132312 its reverse (2132311131), we get a palindrome (3443443443).

The spelling of 1311132312 in words is "one billion, three hundred eleven million, one hundred thirty-two thousand, three hundred twelve".