1003313131 has 2 divisors, whose sum is σ = 1003313132. Its totient is φ = 1003313130.

The previous prime is 1003313119. The next prime is 1003313159. The reversal of 1003313131 is 1313133001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1003313131 - 2⁵ = 1003313099 is a prime.

It is a super-2 number, since 2×1003313131² = 2013274477674046322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1003313431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501656565 + 501656566.

It is an arithmetic number, because the mean of its divisors is an integer number (501656566).

Almost surely, 2^1003313131 is an apocalyptic number.

1003313131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003313131 is an equidigital number, since it uses as much as digits as its factorization.

1003313131 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 16.

The square root of 1003313131 is about 31675.1184843877. The cubic root of 1003313131 is about 1001.1031595914.

Adding to 1003313131 its reverse (1313133001), we get a palindrome (2316446132).

The spelling of 1003313131 in words is "one billion, three million, three hundred thirteen thousand, one hundred thirty-one".