1013143131 has 48 divisors (see below), whose sum is σ = 1964901120. Its totient is φ = 485818560.

The previous prime is 1013143111. The next prime is 1013143133. The reversal of 1013143131 is 1313413101.

It is not a de Polignac number, because 1013143131 - 2²⁹ = 476272219 is a prime.

It is a super-2 number, since 2×1013143131² = 2052918007784966322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013143133) 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 in 47 ways as a sum of consecutive naturals, for example, 47221 + ... + 65238.

It is an arithmetic number, because the mean of its divisors is an integer number (40935440).

Almost surely, 2^1013143131 is an apocalyptic number.

1013143131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013143131 is a deficient number, since it is larger than the sum of its proper divisors (951757989).

1013143131 is a wasteful number, since it uses less digits than its factorization.

1013143131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112496 (or 112493 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1013143131 is about 31829.9093778163. The cubic root of 1013143131 is about 1004.3619890531.

Adding to 1013143131 its reverse (1313413101), we get a palindrome (2326556232).

The spelling of 1013143131 in words is "one billion, thirteen million, one hundred forty-three thousand, one hundred thirty-one".