31100101 has 2 divisors, whose sum is σ = 31100102. Its totient is φ = 31100100.

The previous prime is 31100087. The next prime is 31100149. The reversal of 31100101 is 10100113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31069476 + 30625 = 5574^2 + 175^2 .

It is an emirp because it is prime and its reverse (10100113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31100101 - 2⁹ = 31099589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31100171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550050 + 15550051.

It is an arithmetic number, because the mean of its divisors is an integer number (15550051).

Almost surely, 2^31100101 is an apocalyptic number.

It is an amenable number.

31100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31100101 is an equidigital number, since it uses as much as digits as its factorization.

31100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 31100101 is about 5576.7464529060. The cubic root of 31100101 is about 314.4758259757.

Adding to 31100101 its reverse (10100113), we get a palindrome (41200214).

The spelling of 31100101 in words is "thirty-one million, one hundred thousand, one hundred one".