11312209262133 has 54 divisors (see below), whose sum is σ = 17732202966114. Its totient is φ = 6908188292928.

The previous prime is 11312209262099. The next prime is 11312209262161. The reversal of 11312209262133 is 33126290221311.

11312209262133 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 20 + 9 + 2 + 621 + 3 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2728235117169 + 8583974144964 = 1651737^2 + 2929842^2 .

It is not a de Polignac number, because 11312209262133 - 2⁶ = 11312209262069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312209262533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5056864891 + ... + 5056867127.

Almost surely, 2^{11312209262133} is an apocalyptic number.

11312209262133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11312209262133 is a deficient number, since it is larger than the sum of its proper divisors (6419993703981).

11312209262133 is an frugal number, since it uses more digits than its factorization.

11312209262133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 11312209262133 its reverse (33126290221311), we get a palindrome (44438499483444).

The spelling of 11312209262133 in words is "eleven trillion, three hundred twelve billion, two hundred nine million, two hundred sixty-two thousand, one hundred thirty-three".