2131003131011 has 2 divisors, whose sum is σ = 2131003131012. Its totient is φ = 2131003131010.

The previous prime is 2131003130999. The next prime is 2131003131017. The reversal of 2131003131011 is 1101313001312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2131003131011 - 2⁶ = 2131003130947 is a prime.

It is not a weakly prime, because it can be changed into another prime (2131003131017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065501565505 + 1065501565506.

It is an arithmetic number, because the mean of its divisors is an integer number (1065501565506).

Almost surely, 2^{2131003131011} is an apocalyptic number.

2131003131011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131003131011 is an equidigital number, since it uses as much as digits as its factorization.

2131003131011 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2131003131011 its reverse (1101313001312), we get a palindrome (3232316132323).

The spelling of 2131003131011 in words is "two trillion, one hundred thirty-one billion, three million, one hundred thirty-one thousand, eleven".