4022313100001 has 24 divisors (see below), whose sum is σ = 4797873708264. Its totient is φ = 3360284632320.

The previous prime is 4022313099991. The next prime is 4022313100009. The reversal of 4022313100001 is 1000013132204.

It can be written as a sum of positive squares in 4 ways, for example, as 328994016400 + 3693319083601 = 573580^2 + 1921801^2 .

It is not a de Polignac number, because 4022313100001 - 2¹⁴ = 4022313083617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4022313100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1046891 + ... + 3023343.

It is an arithmetic number, because the mean of its divisors is an integer number (199911404511).

Almost surely, 2^{4022313100001} is an apocalyptic number.

4022313100001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4022313100001 is a deficient number, since it is larger than the sum of its proper divisors (775560608263).

4022313100001 is a wasteful number, since it uses less digits than its factorization.

4022313100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977521 (or 1977514 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 4022313100001 its reverse (1000013132204), we get a palindrome (5022326232205).

The spelling of 4022313100001 in words is "four trillion, twenty-two billion, three hundred thirteen million, one hundred thousand, one".