1313300120 has 96 divisors (see below), whose sum is σ = 3353132160. Its totient is φ = 462105600.

The previous prime is 1313300117. The next prime is 1313300123. The reversal of 1313300120 is 210033131.

It is an interprime number because it is at equal distance from previous prime (1313300117) and next prime (1313300123).

It is a junction number, because it is equal to n+sod(n) for n = 1313300095 and 1313300104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313300123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145664 + ... + 154416.

It is an arithmetic number, because the mean of its divisors is an integer number (34928460).

Almost surely, 2^1313300120 is an apocalyptic number.

1313300120 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 1313300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676566080).

1313300120 is an abundant number, since it is smaller than the sum of its proper divisors (2039832040).

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

1313300120 is a wasteful number, since it uses less digits than its factorization.

1313300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8817 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1313300120 is about 36239.4828881429. The cubic root of 1313300120 is about 1095.1022249108.

Adding to 1313300120 its reverse (210033131), we get a palindrome (1523333251).

The spelling of 1313300120 in words is "one billion, three hundred thirteen million, three hundred thousand, one hundred twenty".