1313202120 has 128 divisors (see below), whose sum is σ = 4082400000. Its totient is φ = 337694720.

The previous prime is 1313202109. The next prime is 1313202127. The reversal of 1313202120 is 212023131.

1313202120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1313202120.

It is not an unprimeable number, because it can be changed into a prime (1313202127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436381 + ... + 439379.

It is an arithmetic number, because the mean of its divisors is an integer number (31893750).

Almost surely, 2^1313202120 is an apocalyptic number.

1313202120 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 1313202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041200000).

1313202120 is an abundant number, since it is smaller than the sum of its proper divisors (2769197880).

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

1313202120 is a wasteful number, since it uses less digits than its factorization.

1313202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1313202120 is about 36238.1307464941. The cubic root of 1313202120 is about 1095.0749849611.

Adding to 1313202120 its reverse (212023131), we get a palindrome (1525225251).

The spelling of 1313202120 in words is "one billion, three hundred thirteen million, two hundred two thousand, one hundred twenty".