1310314800 has 120 divisors (see below), whose sum is σ = 4241023696. Its totient is φ = 345784320.

The previous prime is 1310314799. The next prime is 1310314829. The reversal of 1310314800 is 84130131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1310314800³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110772 + ... + 122028.

Almost surely, 2^1310314800 is an apocalyptic number.

1310314800 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 1310314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120511848).

1310314800 is an abundant number, since it is smaller than the sum of its proper divisors (2930708896).

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

1310314800 is a wasteful number, since it uses less digits than its factorization.

1310314800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375 (or 11364 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1310314800 is about 36198.2706769260. The cubic root of 1310314800 is about 1094.2718204457.

Adding to 1310314800 its reverse (84130131), we get a palindrome (1394444931).

The spelling of 1310314800 in words is "one billion, three hundred ten million, three hundred fourteen thousand, eight hundred".