10011221311311 has 40 divisors (see below), whose sum is σ = 16345897614288. Its totient is φ = 6055760880000.

The previous prime is 10011221311291. The next prime is 10011221311337. The reversal of 10011221311311 is 11311312211001.

10011221311311 is a `hidden beast` number, since 10 + 0 + 1 + 12 + 21 + 311 + 311 = 666.

It is not a de Polignac number, because 10011221311311 - 2²¹ = 10011219214159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011221311381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10318840 + ... + 11247261.

Almost surely, 2^{10011221311311} is an apocalyptic number.

10011221311311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011221311311 is a deficient number, since it is larger than the sum of its proper divisors (6334676302977).

10011221311311 is a wasteful number, since it uses less digits than its factorization.

10011221311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21566645 (or 21566636 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10011221311311 its reverse (11311312211001), we get a palindrome (21322533522312).

The spelling of 10011221311311 in words is "ten trillion, eleven billion, two hundred twenty-one million, three hundred eleven thousand, three hundred eleven".