1001310131 has 2 divisors, whose sum is σ = 1001310132. Its totient is φ = 1001310130.

The previous prime is 1001310113. The next prime is 1001310133. The reversal of 1001310131 is 1310131001.

It is a happy number.

Together with previous prime (1001310113) 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 1001310131 - 2⁶ = 1001310067 is a prime.

It is a super-2 number, since 2×1001310131² = 2005243956886474322, which contains 22 as substring.

Together with 1001310133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1001310133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500655065 + 500655066.

It is an arithmetic number, because the mean of its divisors is an integer number (500655066).

Almost surely, 2^1001310131 is an apocalyptic number.

1001310131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001310131 is an equidigital number, since it uses as much as digits as its factorization.

1001310131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1001310131 is about 31643.4848112530. The cubic root of 1001310131 is about 1000.4365197561.

Adding to 1001310131 its reverse (1310131001), we get a palindrome (2311441132).

The spelling of 1001310131 in words is "one billion, one million, three hundred ten thousand, one hundred thirty-one".