1311301200 has 240 divisors, whose sum is σ = 4625900352. Its totient is φ = 317504000.

The previous prime is 1311301181. The next prime is 1311301213. The reversal of 1311301200 is 21031131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×1311301200⁴ (a number of 38 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1596790 + ... + 1597610.

Almost surely, 2^1311301200 is an apocalyptic number.

1311301200 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 1311301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312950176).

1311301200 is an abundant number, since it is smaller than the sum of its proper divisors (3314599152).

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

1311301200 is a wasteful number, since it uses less digits than its factorization.

1311301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 842 counting only the distinct ones).

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

The square root of 1311301200 is about 36211.8930739612. The cubic root of 1311301200 is about 1094.5463394604.

Adding to 1311301200 its reverse (21031131), we get a palindrome (1332332331).

The spelling of 1311301200 in words is "one billion, three hundred eleven million, three hundred one thousand, two hundred".