31112111110061 has 2 divisors, whose sum is σ = 31112111110062. Its totient is φ = 31112111110060.

The previous prime is 31112111110057. The next prime is 31112111110141. The reversal of 31112111110061 is 16001111121113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30762941209225 + 349169900836 = 5546435^2 + 590906^2 .

It is an emirp because it is prime and its reverse (16001111121113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31112111110061 - 2² = 31112111110057 is a prime.

It is a super-2 number, since 2×31112111110061² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31112111110001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15556055555030 + 15556055555031.

It is an arithmetic number, because the mean of its divisors is an integer number (15556055555031).

Almost surely, 2^{31112111110061} is an apocalyptic number.

It is an amenable number.

31112111110061 is a deficient number, since it is larger than the sum of its proper divisors (1).

31112111110061 is an equidigital number, since it uses as much as digits as its factorization.

31112111110061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 31112111110061 its reverse (16001111121113), we get a palindrome (47113222231174).

The spelling of 31112111110061 in words is "thirty-one trillion, one hundred twelve billion, one hundred eleven million, one hundred ten thousand, sixty-one".