1311164100 has 243 divisors, whose sum is σ = 4428098311. Its totient is φ = 324441600.

The previous prime is 1311164077. The next prime is 1311164111. The reversal of 1311164100 is 14611131.

The square root of 1311164100 is 36210.

It is a perfect power (a square), and thus also a powerful number.

1311164100 is a `hidden beast` number, since 13 + 1 + 11 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30669444 + 1280494656 = 5538^2 + 35784^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18467065 + ... + 18467135.

Almost surely, 2^1311164100 is an apocalyptic number.

1311164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311164100 is the 36210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311164100

1311164100 is an abundant number, since it is smaller than the sum of its proper divisors (3116934211).

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

1311164100 is a wasteful number, since it uses less digits than its factorization.

1311164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The cubic root of 1311164100 is about 1094.5081922284.

Adding to 1311164100 its reverse (14611131), we get a palindrome (1325775231).

The spelling of 1311164100 in words is "one billion, three hundred eleven million, one hundred sixty-four thousand, one hundred".