31431244021241 has 2 divisors, whose sum is σ = 31431244021242. Its totient is φ = 31431244021240.

The previous prime is 31431244021189. The next prime is 31431244021279. The reversal of 31431244021241 is 14212044213413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31093683021241 + 337561000000 = 5576171^2 + 581000^2 .

It is a cyclic number.

It is not a de Polignac number, because 31431244021241 - 2¹⁰ = 31431244020217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31431244021198 and 31431244021207.

It is not a weakly prime, because it can be changed into another prime (31431244024241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15715622010620 + 15715622010621.

It is an arithmetic number, because the mean of its divisors is an integer number (15715622010621).

Almost surely, 2^{31431244021241} is an apocalyptic number.

It is an amenable number.

31431244021241 is a deficient number, since it is larger than the sum of its proper divisors (1).

31431244021241 is an equidigital number, since it uses as much as digits as its factorization.

31431244021241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 31431244021241 its reverse (14212044213413), we get a palindrome (45643288234654).

The spelling of 31431244021241 in words is "thirty-one trillion, four hundred thirty-one billion, two hundred forty-four million, twenty-one thousand, two hundred forty-one".