331112101 has 2 divisors, whose sum is σ = 331112102. Its totient is φ = 331112100.

The previous prime is 331112099. The next prime is 331112153. The reversal of 331112101 is 101211133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311487201 + 19624900 = 17649^2 + 4430^2 .

It is a cyclic number.

It is not a de Polignac number, because 331112101 - 2¹ = 331112099 is a prime.

Together with 331112099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331112501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165556050 + 165556051.

It is an arithmetic number, because the mean of its divisors is an integer number (165556051).

Almost surely, 2^331112101 is an apocalyptic number.

It is an amenable number.

331112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

331112101 is an equidigital number, since it uses as much as digits as its factorization.

331112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 331112101 is about 18196.4859519634. The cubic root of 331112101 is about 691.8177241917.

Adding to 331112101 its reverse (101211133), we get a palindrome (432323234).

The spelling of 331112101 in words is "three hundred thirty-one million, one hundred twelve thousand, one hundred one".