1314030120 has 256 divisors, whose sum is σ = 4577126400. Its totient is φ = 299013120.

The previous prime is 1314030103. The next prime is 1314030121. The reversal of 1314030120 is 210304131.

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 1314030120.

It is not an unprimeable number, because it can be changed into a prime (1314030121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1274005 + ... + 1275035.

It is an arithmetic number, because the mean of its divisors is an integer number (17879400).

Almost surely, 2^1314030120 is an apocalyptic number.

1314030120 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 1314030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288563200).

1314030120 is an abundant number, since it is smaller than the sum of its proper divisors (3263096280).

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

1314030120 is a wasteful number, since it uses less digits than its factorization.

1314030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1116 counting only the distinct ones).

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

The square root of 1314030120 is about 36249.5533765590. The cubic root of 1314030120 is about 1095.3050921095.

Adding to 1314030120 its reverse (210304131), we get a palindrome (1524334251).

The spelling of 1314030120 in words is "one billion, three hundred fourteen million, thirty thousand, one hundred twenty".