4131122211314 has 32 divisors (see below), whose sum is σ = 7613266360320. Its totient is φ = 1641610549008.

The previous prime is 4131122211277. The next prime is 4131122211319.

It is a happy number.

4131122211314 is nontrivially palindromic in base 10.

4131122211314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4131122211319) 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, 165205952 + ... + 165230955.

It is an arithmetic number, because the mean of its divisors is an integer number (237914573760).

Almost surely, 2^{4131122211314} is an apocalyptic number.

4131122211314 is a deficient number, since it is larger than the sum of its proper divisors (3482144149006).

4131122211314 is a wasteful number, since it uses less digits than its factorization.

4131122211314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330436982.

The product of its digits is 1152, while the sum is 26.

The spelling of 4131122211314 in words is "four trillion, one hundred thirty-one billion, one hundred twenty-two million, two hundred eleven thousand, three hundred fourteen".