1311132022200 has 2304 divisors, whose sum is σ = 6179544483840. Its totient is φ = 240371712000.

The previous prime is 1311132022199. The next prime is 1311132022219. The reversal of 1311132022200 is 22202311131.

1311132022200 is a `hidden beast` number, since 1 + 311 + 132 + 0 + 2 + 220 + 0 = 666.

It is a super-2 number, since 2×1311132022200² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4733328462 + ... + 4733328738.

It is an arithmetic number, because the mean of its divisors is an integer number (2682093960).

Almost surely, 2^{1311132022200} is an apocalyptic number.

1311132022200 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 1311132022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089772241920).

1311132022200 is an abundant number, since it is smaller than the sum of its proper divisors (4868412461640).

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

1311132022200 is a wasteful number, since it uses less digits than its factorization.

1311132022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1311132022200 its reverse (22202311131), we get a palindrome (1333334333331).

The spelling of 1311132022200 in words is "one trillion, three hundred eleven billion, one hundred thirty-two million, twenty-two thousand, two hundred".