103231312002001 has 2 divisors, whose sum is σ = 103231312002002. Its totient is φ = 103231312002000.

The previous prime is 103231312001963. The next prime is 103231312002029. The reversal of 103231312002001 is 100200213132301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56732891951376 + 46498420050625 = 7532124^2 + 6818975^2 .

It is a cyclic number.

It is not a de Polignac number, because 103231312002001 - 2²³ = 103231303613393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103231312002001.

It is not a weakly prime, because it can be changed into another prime (103231312002041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51615656001000 + 51615656001001.

It is an arithmetic number, because the mean of its divisors is an integer number (51615656001001).

Almost surely, 2^{103231312002001} is an apocalyptic number.

It is an amenable number.

103231312002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

103231312002001 is an equidigital number, since it uses as much as digits as its factorization.

103231312002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 103231312002001 its reverse (100200213132301), we get a palindrome (203431525134302).

The spelling of 103231312002001 in words is "one hundred three trillion, two hundred thirty-one billion, three hundred twelve million, two thousand, one".