1311031200 has 72 divisors (see below), whose sum is σ = 4267414368. Its totient is φ = 349607680.

The previous prime is 1311031187. The next prime is 1311031201. The reversal of 1311031200 is 21301131.

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

It is not an unprimeable number, because it can be changed into a prime (1311031201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270732 + ... + 275531.

It is an arithmetic number, because the mean of its divisors is an integer number (59269644).

Almost surely, 2^1311031200 is an apocalyptic number.

1311031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311031200 is an abundant number, since it is smaller than the sum of its proper divisors (2956383168).

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

1311031200 is a wasteful number, since it uses less digits than its factorization.

1311031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546286 (or 546273 counting only the distinct ones).

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

The square root of 1311031200 is about 36208.1648250778. The cubic root of 1311031200 is about 1094.4712110822.

Adding to 1311031200 its reverse (21301131), we get a palindrome (1332332331).

The spelling of 1311031200 in words is "one billion, three hundred eleven million, thirty-one thousand, two hundred".