1031031131131 has 2 divisors, whose sum is σ = 1031031131132. Its totient is φ = 1031031131130.

The previous prime is 1031031131113. The next prime is 1031031131147. The reversal of 1031031131131 is 1311311301301.

Together with previous prime (1031031131113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1031031131131 - 2⁵ = 1031031131099 is a prime.

It is a super-2 number, since 2×1031031131131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031031131099 and 1031031131108.

It is not a weakly prime, because it can be changed into another prime (1031031131161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515515565565 + 515515565566.

It is an arithmetic number, because the mean of its divisors is an integer number (515515565566).

Almost surely, 2^{1031031131131} is an apocalyptic number.

1031031131131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031031131131 is an equidigital number, since it uses as much as digits as its factorization.

1031031131131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 1031031131131 its reverse (1311311301301), we get a palindrome (2342342432432).

The spelling of 1031031131131 in words is "one trillion, thirty-one billion, thirty-one million, one hundred thirty-one thousand, one hundred thirty-one".