111312031013101 has 2 divisors, whose sum is σ = 111312031013102. Its totient is φ = 111312031013100.

The previous prime is 111312031013093. The next prime is 111312031013123. The reversal of 111312031013101 is 101310130213111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73629682439076 + 37682348574025 = 8580774^2 + 6138595^2 .

It is a cyclic number.

It is not a de Polignac number, because 111312031013101 - 2³ = 111312031013093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111312031014101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55656015506550 + 55656015506551.

It is an arithmetic number, because the mean of its divisors is an integer number (55656015506551).

Almost surely, 2^{111312031013101} is an apocalyptic number.

It is an amenable number.

111312031013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111312031013101 is an equidigital number, since it uses as much as digits as its factorization.

111312031013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 111312031013101 its reverse (101310130213111), we get a palindrome (212622161226212).

The spelling of 111312031013101 in words is "one hundred eleven trillion, three hundred twelve billion, thirty-one million, thirteen thousand, one hundred one".