1311332220 has 192 divisors, whose sum is σ = 4473100800. Its totient is φ = 316293120.

The previous prime is 1311332203. The next prime is 1311332221. The reversal of 1311332220 is 222331131.

1311332220 is a `hidden beast` number, since 1 + 311 + 332 + 2 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1311332193 and 1311332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311332221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526151 + ... + 1527009.

It is an arithmetic number, because the mean of its divisors is an integer number (23297400).

Almost surely, 2^1311332220 is an apocalyptic number.

1311332220 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 1311332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236550400).

1311332220 is an abundant number, since it is smaller than the sum of its proper divisors (3161768580).

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

1311332220 is a wasteful number, since it uses less digits than its factorization.

1311332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1311332220 is about 36212.3213837500. The cubic root of 1311332220 is about 1094.5549702158.

Adding to 1311332220 its reverse (222331131), we get a palindrome (1533663351).

The spelling of 1311332220 in words is "one billion, three hundred eleven million, three hundred thirty-two thousand, two hundred twenty".