31301112101981 has 2 divisors, whose sum is σ = 31301112101982. Its totient is φ = 31301112101980.

The previous prime is 31301112101969. The next prime is 31301112102023. The reversal of 31301112101981 is 18910121110313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30310629349081 + 990482752900 = 5505509^2 + 995230^2 .

It is an emirp because it is prime and its reverse (18910121110313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31301112101981 - 2¹⁴ = 31301112085597 is a prime.

It is a super-2 number, since 2×31301112101981² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31301112101951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15650556050990 + 15650556050991.

It is an arithmetic number, because the mean of its divisors is an integer number (15650556050991).

Almost surely, 2^{31301112101981} is an apocalyptic number.

It is an amenable number.

31301112101981 is a deficient number, since it is larger than the sum of its proper divisors (1).

31301112101981 is an equidigital number, since it uses as much as digits as its factorization.

31301112101981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 31301112101981 in words is "thirty-one trillion, three hundred one billion, one hundred twelve million, one hundred one thousand, nine hundred eighty-one".