31301123121001 has 2 divisors, whose sum is σ = 31301123121002. Its totient is φ = 31301123121000.

The previous prime is 31301123120957. The next prime is 31301123121007. The reversal of 31301123121001 is 10012132110313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30789181440000 + 511941681001 = 5548800^2 + 715501^2 .

It is a cyclic number.

It is not a de Polignac number, because 31301123121001 - 2⁷ = 31301123120873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31301123121001.

It is not a weakly prime, because it can be changed into another prime (31301123121007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15650561560500 + 15650561560501.

It is an arithmetic number, because the mean of its divisors is an integer number (15650561560501).

Almost surely, 2^{31301123121001} is an apocalyptic number.

It is an amenable number.

31301123121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31301123121001 is an equidigital number, since it uses as much as digits as its factorization.

31301123121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 31301123121001 its reverse (10012132110313), we get a palindrome (41313255231314).

The spelling of 31301123121001 in words is "thirty-one trillion, three hundred one billion, one hundred twenty-three million, one hundred twenty-one thousand, one".