1313313312 has 48 divisors (see below), whose sum is σ = 3531542112. Its totient is φ = 427092480.

The previous prime is 1313313311. The next prime is 1313313319. The reversal of 1313313312 is 2133133131.

It is a tau number, because it is divible by the number of its divisors (48).

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 (1313313311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162898 + ... + 170769.

It is an arithmetic number, because the mean of its divisors is an integer number (73573794).

Almost surely, 2^1313313312 is an apocalyptic number.

1313313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313313312 is an abundant number, since it is smaller than the sum of its proper divisors (2218228800).

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

1313313312 is a wasteful number, since it uses less digits than its factorization.

1313313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333721 (or 333713 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 1313313312 is about 36239.6648991130. The cubic root of 1313313312 is about 1095.1058916381.

Adding to 1313313312 its reverse (2133133131), we get a palindrome (3446446443).

It can be divided in two parts, 1 and 313313312, that added together give a palindrome (313313313).

The spelling of 1313313312 in words is "one billion, three hundred thirteen million, three hundred thirteen thousand, three hundred twelve".