3131003112011 has 2 divisors, whose sum is σ = 3131003112012. Its totient is φ = 3131003112010.

The previous prime is 3131003111993. The next prime is 3131003112019. The reversal of 3131003112011 is 1102113001313.

3131003112011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3131003112011 - 2²⁶ = 3130936003147 is a prime.

It is a super-2 number, since 2×3131003112011² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3131003112019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565501556005 + 1565501556006.

It is an arithmetic number, because the mean of its divisors is an integer number (1565501556006).

Almost surely, 2^{3131003112011} is an apocalyptic number.

3131003112011 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131003112011 is an equidigital number, since it uses as much as digits as its factorization.

3131003112011 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 3131003112011 its reverse (1102113001313), we get a palindrome (4233116113324).

The spelling of 3131003112011 in words is "three trillion, one hundred thirty-one billion, three million, one hundred twelve thousand, eleven".