1310245200 has 480 divisors, whose sum is σ = 5230915200. Its totient is φ = 308736000.

The previous prime is 1310245193. The next prime is 1310245213. The reversal of 1310245200 is 25420131.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4870666 + ... + 4870934.

It is an arithmetic number, because the mean of its divisors is an integer number (10897740).

Almost surely, 2^1310245200 is an apocalyptic number.

1310245200 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 1310245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615457600).

1310245200 is an abundant number, since it is smaller than the sum of its proper divisors (3920670000).

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

1310245200 is a wasteful number, since it uses less digits than its factorization.

1310245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1310245200 is about 36197.3092922665. The cubic root of 1310245200 is about 1094.2524452881.

Adding to 1310245200 its reverse (25420131), we get a palindrome (1335665331).

The spelling of 1310245200 in words is "one billion, three hundred ten million, two hundred forty-five thousand, two hundred".