4413322213131 has 128 divisors (see below), whose sum is σ = 6629575680000. Its totient is φ = 2594477039616.

The previous prime is 4413322213123. The next prime is 4413322213211. The reversal of 4413322213131 is 1313122233144.

It is not a de Polignac number, because 4413322213131 - 2³ = 4413322213123 is a prime.

It is a super-3 number, since 3×4413322213131³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4413322213031) 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 127 ways as a sum of consecutive naturals, for example, 7129760940 + ... + 7129761558.

It is an arithmetic number, because the mean of its divisors is an integer number (51793560000).

Almost surely, 2^{4413322213131} is an apocalyptic number.

4413322213131 is a deficient number, since it is larger than the sum of its proper divisors (2216253466869).

4413322213131 is a wasteful number, since it uses less digits than its factorization.

4413322213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313.

The product of its digits is 10368, while the sum is 30.

Adding to 4413322213131 its reverse (1313122233144), we get a palindrome (5726444446275).

The spelling of 4413322213131 in words is "four trillion, four hundred thirteen billion, three hundred twenty-two million, two hundred thirteen thousand, one hundred thirty-one".