1003113131 has 2 divisors, whose sum is σ = 1003113132. Its totient is φ = 1003113130.

The previous prime is 1003113121. The next prime is 1003113149. The reversal of 1003113131 is 1313113001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1003113131 is a prime.

It is a super-2 number, since 2×1003113131² = 2012471907169246322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1003113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501556565 + 501556566.

It is an arithmetic number, because the mean of its divisors is an integer number (501556566).

Almost surely, 2^1003113131 is an apocalyptic number.

1003113131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003113131 is an equidigital number, since it uses as much as digits as its factorization.

1003113131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1003113131 is about 31671.9612749195. The cubic root of 1003113131 is about 1001.0366353492.

Adding to 1003113131 its reverse (1313113001), we get a palindrome (2316226132).

The spelling of 1003113131 in words is "one billion, three million, one hundred thirteen thousand, one hundred thirty-one".