1314110320 has 40 divisors (see below), whose sum is σ = 3056880240. Its totient is φ = 525373440.

The previous prime is 1314110297. The next prime is 1314110323. The reversal of 1314110320 is 230114131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1314110294 and 1314110303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314110323) 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 7 ways as a sum of consecutive naturals, for example, 238800 + ... + 244240.

It is an arithmetic number, because the mean of its divisors is an integer number (76422006).

Almost surely, 2^1314110320 is an apocalyptic number.

1314110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314110320 is an abundant number, since it is smaller than the sum of its proper divisors (1742769920).

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

1314110320 is a wasteful number, since it uses less digits than its factorization.

1314110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1314110320 is about 36250.6595802063. The cubic root of 1314110320 is about 1095.3273751303.

Adding to 1314110320 its reverse (230114131), we get a palindrome (1544224451).

The spelling of 1314110320 in words is "one billion, three hundred fourteen million, one hundred ten thousand, three hundred twenty".