1310311200 has 144 divisors (see below), whose sum is σ = 4652889696. Its totient is φ = 317644800.

The previous prime is 1310311181. The next prime is 1310311217. The reversal of 1310311200 is 21130131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584 + ... + 51216.

It is an arithmetic number, because the mean of its divisors is an integer number (32311734).

Almost surely, 2^1310311200 is an apocalyptic number.

1310311200 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 1310311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326444848).

1310311200 is an abundant number, since it is smaller than the sum of its proper divisors (3342578496).

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

1310311200 is a wasteful number, since it uses less digits than its factorization.

1310311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49667 (or 49654 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1310311200 is about 36198.2209507594. The cubic root of 1310311200 is about 1094.2708182992.

Adding to 1310311200 its reverse (21130131), we get a palindrome (1331441331).

It can be divided in two parts, 131031 and 1200, that added together give a palindrome (132231).

The spelling of 1310311200 in words is "one billion, three hundred ten million, three hundred eleven thousand, two hundred".