1313012120 has 128 divisors (see below), whose sum is σ = 3529526400. Its totient is φ = 430080000.

The previous prime is 1313012101. The next prime is 1313012123. The reversal of 1313012120 is 212103131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1313012095 and 1313012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313012123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819320 + ... + 820920.

It is an arithmetic number, because the mean of its divisors is an integer number (27574425).

Almost surely, 2^1313012120 is an apocalyptic number.

1313012120 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 1313012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764763200).

1313012120 is an abundant number, since it is smaller than the sum of its proper divisors (2216514280).

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

1313012120 is a wasteful number, since it uses less digits than its factorization.

1313012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1745 counting only the distinct ones).

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

The square root of 1313012120 is about 36235.5091036403. The cubic root of 1313012120 is about 1095.0221689527.

Adding to 1313012120 its reverse (212103131), we get a palindrome (1525115251).

The spelling of 1313012120 in words is "one billion, three hundred thirteen million, twelve thousand, one hundred twenty".