203311131101311 has 2 divisors, whose sum is σ = 203311131101312. Its totient is φ = 203311131101310.

The previous prime is 203311131101291. The next prime is 203311131101333. The reversal of 203311131101311 is 113101131113302.

It is an a-pointer prime, because the next prime (203311131101333) can be obtained adding 203311131101311 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-203311131101311 is a prime.

It is a super-3 number, since 3×203311131101311³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (203311131101371) 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, 101655565550655 + 101655565550656.

It is an arithmetic number, because the mean of its divisors is an integer number (101655565550656).

Almost surely, 2^{203311131101311} is an apocalyptic number.

203311131101311 is a deficient number, since it is larger than the sum of its proper divisors (1).

203311131101311 is an equidigital number, since it uses as much as digits as its factorization.

203311131101311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 203311131101311 its reverse (113101131113302), we get a palindrome (316412262214613).

The spelling of 203311131101311 in words is "two hundred three trillion, three hundred eleven billion, one hundred thirty-one million, one hundred one thousand, three hundred eleven".