1313322120 has 256 divisors, whose sum is σ = 4806604800. Its totient is φ = 316327680.

The previous prime is 1313322107. The next prime is 1313322121. The reversal of 1313322120 is 212233131.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313322093 and 1313322102.

It is not an unprimeable number, because it can be changed into a prime (1313322121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2696517 + ... + 2697003.

It is an arithmetic number, because the mean of its divisors is an integer number (18775800).

Almost surely, 2^1313322120 is an apocalyptic number.

1313322120 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 1313322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403302400).

1313322120 is an abundant number, since it is smaller than the sum of its proper divisors (3493282680).

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

1313322120 is a wasteful number, since it uses less digits than its factorization.

1313322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313322120 is about 36239.7864232117. The cubic root of 1313322120 is about 1095.1083398153.

Adding to 1313322120 its reverse (212233131), we get a palindrome (1525555251).

It can be divided in two parts, 13133 and 22120, that added together give a palindrome (35253).

The spelling of 1313322120 in words is "one billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred twenty".