11212112313131 has 16 divisors (see below), whose sum is σ = 11451260210688. Its totient is φ = 10973991506400.

The previous prime is 11212112313071. The next prime is 11212112313169. The reversal of 11212112313131 is 13131321121211.

It is a cyclic number.

It is not a de Polignac number, because 11212112313131 - 2³⁰ = 11211038571307 is a prime.

It is a super-2 number, since 2×11212112313131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11212112313097 and 11212112313106.

It is not an unprimeable number, because it can be changed into a prime (11212112313331) 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 15 ways as a sum of consecutive naturals, for example, 360606896 + ... + 360637986.

It is an arithmetic number, because the mean of its divisors is an integer number (715703763168).

Almost surely, 2^{11212112313131} is an apocalyptic number.

11212112313131 is a deficient number, since it is larger than the sum of its proper divisors (239147897557).

11212112313131 is a wasteful number, since it uses less digits than its factorization.

11212112313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47362.

The product of its digits is 216, while the sum is 23.

Adding to 11212112313131 its reverse (13131321121211), we get a palindrome (24343433434342).

The spelling of 11212112313131 in words is "eleven trillion, two hundred twelve billion, one hundred twelve million, three hundred thirteen thousand, one hundred thirty-one".