2001311131031 has 2 divisors, whose sum is σ = 2001311131032. Its totient is φ = 2001311131030.

The previous prime is 2001311130979. The next prime is 2001311131033. The reversal of 2001311131031 is 1301311131002.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2001311131031 - 2⁶ = 2001311130967 is a prime.

It is a super-2 number, since 2×2001311131031² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 2001311131033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001311131033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000655565515 + 1000655565516.

It is an arithmetic number, because the mean of its divisors is an integer number (1000655565516).

Almost surely, 2^{2001311131031} is an apocalyptic number.

2001311131031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001311131031 is an equidigital number, since it uses as much as digits as its factorization.

2001311131031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 2001311131031 its reverse (1301311131002), we get a palindrome (3302622262033).

The spelling of 2001311131031 in words is "two trillion, one billion, three hundred eleven million, one hundred thirty-one thousand, thirty-one".