221000001311011 has 32 divisors (see below), whose sum is σ = 250979109920000. Its totient is φ = 192913981734528.

The previous prime is 221000001311003. The next prime is 221000001311029. The reversal of 221000001311011 is 110113100000122.

It is a happy number.

221000001311011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221000001311011 - 2³ = 221000001311003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221000001310982 and 221000001311000.

It is not an unprimeable number, because it can be changed into a prime (221000001311611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813713665 + ... + 813985213.

It is an arithmetic number, because the mean of its divisors is an integer number (7843097185000).

Almost surely, 2^{221000001311011} is an apocalyptic number.

221000001311011 is a deficient number, since it is larger than the sum of its proper divisors (29979108608989).

221000001311011 is a wasteful number, since it uses less digits than its factorization.

221000001311011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277523.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 221000001311011 its reverse (110113100000122), we get a palindrome (331113101311133).

The spelling of 221000001311011 in words is "two hundred twenty-one trillion, one million, three hundred eleven thousand, eleven".