1311032112 has 160 divisors (see below), whose sum is σ = 3917124288. Its totient is φ = 374243328.

The previous prime is 1311032089. The next prime is 1311032123. The reversal of 1311032112 is 2112301131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311032091 and 1311032100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773538 + ... + 775230.

Almost surely, 2^1311032112 is an apocalyptic number.

1311032112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958562144).

1311032112 is an abundant number, since it is smaller than the sum of its proper divisors (2606092176).

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

1311032112 is a wasteful number, since it uses less digits than its factorization.

1311032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1311032112 is about 36208.1774189202. The cubic root of 1311032112 is about 1094.4714648666.

Adding to 1311032112 its reverse (2112301131), we get a palindrome (3423333243).

The spelling of 1311032112 in words is "one billion, three hundred eleven million, thirty-two thousand, one hundred twelve".