1013033131 has 16 divisors (see below), whose sum is σ = 1120635648. Its totient is φ = 908092000.

The previous prime is 1013033129. The next prime is 1013033141. The reversal of 1013033131 is 1313303101.

1013033131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1013033131 - 2¹ = 1013033129 is a prime.

It is a super-2 number, since 2×1013033131² = 2052472249007326322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013033141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290460 + ... + 293926.

It is an arithmetic number, because the mean of its divisors is an integer number (70039728).

Almost surely, 2^1013033131 is an apocalyptic number.

1013033131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013033131 is a deficient number, since it is larger than the sum of its proper divisors (107602517).

1013033131 is a wasteful number, since it uses less digits than its factorization.

1013033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1013033131 is about 31828.1813963663. The cubic root of 1013033131 is about 1004.3256388691.

Adding to 1013033131 its reverse (1313303101), we get a palindrome (2326336232).

The spelling of 1013033131 in words is "one billion, thirteen million, thirty-three thousand, one hundred thirty-one".