4414023301131 has 96 divisors (see below), whose sum is σ = 7062573024000. Its totient is φ = 2645425246464.

The previous prime is 4414023301097. The next prime is 4414023301147. The reversal of 4414023301131 is 1311033204144.

4414023301131 is a `hidden beast` number, since 4 + 414 + 0 + 233 + 0 + 1 + 13 + 1 = 666.

It is not a de Polignac number, because 4414023301131 - 2⁹ = 4414023300619 is a prime.

It is a super-2 number, since 2×4414023301131² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4414023301095 and 4414023301104.

It is not an unprimeable number, because it can be changed into a prime (4414023301031) 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 95 ways as a sum of consecutive naturals, for example, 147173085 + ... + 147203073.

It is an arithmetic number, because the mean of its divisors is an integer number (73568469000).

Almost surely, 2^{4414023301131} is an apocalyptic number.

4414023301131 is a deficient number, since it is larger than the sum of its proper divisors (2648549722869).

4414023301131 is a wasteful number, since it uses less digits than its factorization.

4414023301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30553 (or 30550 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4414023301131 its reverse (1311033204144), we get a palindrome (5725056505275).

The spelling of 4414023301131 in words is "four trillion, four hundred fourteen billion, twenty-three million, three hundred one thousand, one hundred thirty-one".