203131112011001 has 2 divisors, whose sum is σ = 203131112011002. Its totient is φ = 203131112011000.

The previous prime is 203131112010989. The next prime is 203131112011019. The reversal of 203131112011001 is 100110211131302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 148734513096976 + 54396598914025 = 12195676^2 + 7375405^2 .

It is a cyclic number.

It is not a de Polignac number, because 203131112011001 - 2¹⁸ = 203131111748857 is a prime.

It is not a weakly prime, because it can be changed into another prime (203131112011031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101565556005500 + 101565556005501.

It is an arithmetic number, because the mean of its divisors is an integer number (101565556005501).

Almost surely, 2^{203131112011001} is an apocalyptic number.

It is an amenable number.

203131112011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

203131112011001 is an equidigital number, since it uses as much as digits as its factorization.

203131112011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 203131112011001 its reverse (100110211131302), we get a palindrome (303241323142303).

The spelling of 203131112011001 in words is "two hundred three trillion, one hundred thirty-one billion, one hundred twelve million, eleven thousand, one".