10011122411311 has 24 divisors (see below), whose sum is σ = 11655654291456. Its totient is φ = 8573549891760.

The previous prime is 10011122411243. The next prime is 10011122411327. The reversal of 10011122411311 is 11311422111001.

It is a de Polignac number, because none of the positive numbers 2^k-10011122411311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011122411341) 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 23 ways as a sum of consecutive naturals, for example, 416996470 + ... + 417020476.

It is an arithmetic number, because the mean of its divisors is an integer number (485652262144).

Almost surely, 2^{10011122411311} is an apocalyptic number.

10011122411311 is a deficient number, since it is larger than the sum of its proper divisors (1644531880145).

10011122411311 is a wasteful number, since it uses less digits than its factorization.

10011122411311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31019 (or 31012 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 10011122411311 its reverse (11311422111001), we get a palindrome (21322544522312).

The spelling of 10011122411311 in words is "ten trillion, eleven billion, one hundred twenty-two million, four hundred eleven thousand, three hundred eleven".