11211301312133 has 16 divisors (see below), whose sum is σ = 12116466005952. Its totient is φ = 10312277184000.

The previous prime is 11211301312103. The next prime is 11211301312163. The reversal of 11211301312133 is 33121310311211.

It is an interprime number because it is at equal distance from previous prime (11211301312103) and next prime (11211301312163).

It is a cyclic number.

It is not a de Polignac number, because 11211301312133 - 2²⁴ = 11211284534917 is a prime.

It is a super-2 number, since 2×11211301312133² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11211301312099 and 11211301312108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211301312103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7634453 + ... + 8983733.

It is an arithmetic number, because the mean of its divisors is an integer number (757279125372).

Almost surely, 2^{11211301312133} is an apocalyptic number.

11211301312133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11211301312133 is a deficient number, since it is larger than the sum of its proper divisors (905164693819).

11211301312133 is a wasteful number, since it uses less digits than its factorization.

11211301312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351556.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 11211301312133 its reverse (33121310311211), we get a palindrome (44332611623344).

The spelling of 11211301312133 in words is "eleven trillion, two hundred eleven billion, three hundred one million, three hundred twelve thousand, one hundred thirty-three".