1313112132 has 72 divisors (see below), whose sum is σ = 3422030976. Its totient is φ = 424329024.

The previous prime is 1313112131. The next prime is 1313112187. The reversal of 1313112132 is 2312113131.

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.

It is not an unprimeable number, because it can be changed into a prime (1313112131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177418 + ... + 184670.

It is an arithmetic number, because the mean of its divisors is an integer number (47528208).

Almost surely, 2^1313112132 is an apocalyptic number.

1313112132 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 1313112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711015488).

1313112132 is an abundant number, since it is smaller than the sum of its proper divisors (2108918844).

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

1313112132 is a wasteful number, since it uses less digits than its factorization.

1313112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417 (or 7412 counting only the distinct ones).

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

The square root of 1313112132 is about 36236.8891048887. The cubic root of 1313112132 is about 1095.0499708227.

Adding to 1313112132 its reverse (2312113131), we get a palindrome (3625225263).

Subtracting 1313112132 from its reverse (2312113131), we obtain a palindrome (999000999).

The spelling of 1313112132 in words is "one billion, three hundred thirteen million, one hundred twelve thousand, one hundred thirty-two".