1313102120 has 64 divisors (see below), whose sum is σ = 3227817600. Its totient is φ = 476788480.

The previous prime is 1313102071. The next prime is 1313102143. The reversal of 1313102120 is 212013131.

It is a junction number, because it is equal to n+sod(n) for n = 1313102095 and 1313102104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367382 + ... + 370938.

It is an arithmetic number, because the mean of its divisors is an integer number (50434650).

Almost surely, 2^1313102120 is an apocalyptic number.

1313102120 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 1313102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613908800).

1313102120 is an abundant number, since it is smaller than the sum of its proper divisors (1914715480).

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

1313102120 is a wasteful number, since it uses less digits than its factorization.

1313102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1313102120 is about 36236.7509581088. The cubic root of 1313102120 is about 1095.0471876970.

Adding to 1313102120 its reverse (212013131), we get a palindrome (1525115251).

The spelling of 1313102120 in words is "one billion, three hundred thirteen million, one hundred two thousand, one hundred twenty".