103131303101 has 2 divisors, whose sum is σ = 103131303102. Its totient is φ = 103131303100.

The previous prime is 103131303089. The next prime is 103131303113. The reversal of 103131303101 is 101303131301.

It is a balanced prime because it is at equal distance from previous prime (103131303089) and next prime (103131303113).

It can be written as a sum of positive squares in only one way, i.e., 77578960900 + 25552342201 = 278530^2 + 159851^2 .

It is an emirp because it is prime and its reverse (101303131301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-103131303101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103131303101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103131303001) 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, 51565651550 + 51565651551.

It is an arithmetic number, because the mean of its divisors is an integer number (51565651551).

Almost surely, 2^103131303101 is an apocalyptic number.

It is an amenable number.

103131303101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103131303101 is an equidigital number, since it uses as much as digits as its factorization.

103131303101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 103131303101 its reverse (101303131301), we get a palindrome (204434434402).

The spelling of 103131303101 in words is "one hundred three billion, one hundred thirty-one million, three hundred three thousand, one hundred one".