442000130031 has 48 divisors (see below), whose sum is σ = 653906897280. Its totient is φ = 287613365760.

The previous prime is 442000130027. The next prime is 442000130051. The reversal of 442000130031 is 130031000244.

It is not a de Polignac number, because 442000130031 - 2² = 442000130027 is a prime.

It is a super-2 number, since 2×442000130031² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442000129986 and 442000130013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442000130051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38439075 + ... + 38450571.

It is an arithmetic number, because the mean of its divisors is an integer number (13623060360).

Almost surely, 2^442000130031 is an apocalyptic number.

442000130031 is a deficient number, since it is larger than the sum of its proper divisors (211906767249).

442000130031 is a wasteful number, since it uses less digits than its factorization.

442000130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12096 (or 12093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 442000130031 its reverse (130031000244), we get a palindrome (572031130275).

The spelling of 442000130031 in words is "four hundred forty-two billion, one hundred thirty thousand, thirty-one".