1313031312 has 120 divisors (see below), whose sum is σ = 3957202080. Its totient is φ = 404904960.

The previous prime is 1313031287. The next prime is 1313031367. The reversal of 1313031312 is 2131303131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139887 + ... + 148977.

It is an arithmetic number, because the mean of its divisors is an integer number (32976684).

Almost surely, 2^1313031312 is an apocalyptic number.

1313031312 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 1313031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978601040).

1313031312 is an abundant number, since it is smaller than the sum of its proper divisors (2644170768).

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

1313031312 is a wasteful number, since it uses less digits than its factorization.

1313031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9172 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313031312 is about 36235.7739257767. The cubic root of 1313031312 is about 1095.0275041568.

Adding to 1313031312 its reverse (2131303131), we get a palindrome (3444334443).

It can be divided in two parts, 131303131 and 2, that multiplied together give a palindrome (262606262).

The spelling of 1313031312 in words is "one billion, three hundred thirteen million, thirty-one thousand, three hundred twelve".