1313110120 has 64 divisors (see below), whose sum is σ = 3387582720. Its totient is φ = 448740864.

The previous prime is 1313110093. The next prime is 1313110147. The reversal of 1313110120 is 210113131.

It is an interprime number because it is at equal distance from previous prime (1313110093) and next prime (1313110147).

It is a self number, because there is not a number n which added to its sum of digits gives 1313110120.

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, 80149 + ... + 95131.

It is an arithmetic number, because the mean of its divisors is an integer number (52930980).

Almost surely, 2^1313110120 is an apocalyptic number.

1313110120 is a gapful number since it is divisible by the number (10) 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 1313110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693791360).

1313110120 is an abundant number, since it is smaller than the sum of its proper divisors (2074472600).

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

1313110120 is a wasteful number, since it uses less digits than its factorization.

1313110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15314 (or 15310 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1313110120 is about 36236.8613431130. The cubic root of 1313110120 is about 1095.0494115301.

Adding to 1313110120 its reverse (210113131), we get a palindrome (1523223251).

The spelling of 1313110120 in words is "one billion, three hundred thirteen million, one hundred ten thousand, one hundred twenty".