31005422442441 has 6 divisors (see below), whose sum is σ = 44785610194650. Its totient is φ = 20670281628288.

The previous prime is 31005422442391. The next prime is 31005422442479. The reversal of 31005422442441 is 14424422450013.

31005422442441 is a `hidden beast` number, since 3 + 1 + 0 + 0 + 5 + 4 + 224 + 424 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21084434384841 + 9920988057600 = 4591779^2 + 3149760^2 .

It is not a de Polignac number, because 31005422442441 - 2¹⁴ = 31005422426057 is a prime.

It is a super-2 number, since 2×31005422442441² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31005422442396 and 31005422442405.

It is not an unprimeable number, because it can be changed into a prime (31005422442481) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1722523469016 + ... + 1722523469033.

It is an arithmetic number, because the mean of its divisors is an integer number (7464268365775).

Almost surely, 2^{31005422442441} is an apocalyptic number.

It is an amenable number.

31005422442441 is a deficient number, since it is larger than the sum of its proper divisors (13780187752209).

31005422442441 is a wasteful number, since it uses less digits than its factorization.

31005422442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445046938055 (or 3445046938052 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 31005422442441 its reverse (14424422450013), we get a palindrome (45429844892454).

The spelling of 31005422442441 in words is "thirty-one trillion, five billion, four hundred twenty-two million, four hundred forty-two thousand, four hundred forty-one".