201131312310431 has 2 divisors, whose sum is σ = 201131312310432. Its totient is φ = 201131312310430.

The previous prime is 201131312310283. The next prime is 201131312310437. The reversal of 201131312310431 is 134013213131102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 201131312310431 - 2¹⁰ = 201131312309407 is a prime.

It is a super-2 number, since 2×201131312310431² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201131312310431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201131312310437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100565656155215 + 100565656155216.

It is an arithmetic number, because the mean of its divisors is an integer number (100565656155216).

Almost surely, 2^{201131312310431} is an apocalyptic number.

201131312310431 is a deficient number, since it is larger than the sum of its proper divisors (1).

201131312310431 is an equidigital number, since it uses as much as digits as its factorization.

201131312310431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 201131312310431 its reverse (134013213131102), we get a palindrome (335144525441533).

The spelling of 201131312310431 in words is "two hundred one trillion, one hundred thirty-one billion, three hundred twelve million, three hundred ten thousand, four hundred thirty-one".