1311133164264 has 192 divisors, whose sum is σ = 4453716234240. Its totient is φ = 338514583680.

The previous prime is 1311133164259. The next prime is 1311133164277. The reversal of 1311133164264 is 4624613311131.

1311133164264 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 3 + 3 + 1 + 642 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 217777 + ... + 1633919.

It is an arithmetic number, because the mean of its divisors is an integer number (23196438720).

Almost surely, 2^{1311133164264} is an apocalyptic number.

1311133164264 is a gapful number since it is divisible by the number (14) 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 1311133164264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226858117120).

1311133164264 is an abundant number, since it is smaller than the sum of its proper divisors (3142583069976).

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

1311133164264 is a wasteful number, since it uses less digits than its factorization.

1311133164264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416340 (or 1416333 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Adding to 1311133164264 its reverse (4624613311131), we get a palindrome (5935746475395).

The spelling of 1311133164264 in words is "one trillion, three hundred eleven billion, one hundred thirty-three million, one hundred sixty-four thousand, two hundred sixty-four".