1013431131 has 12 divisors (see below), whose sum is σ = 1468555920. Its totient is φ = 673446480.

The previous prime is 1013431109. The next prime is 1013431151. The reversal of 1013431131 is 1311343101.

1013431131 is a `hidden beast` number, since 101 + 3 + 431 + 131 = 666.

It is not a de Polignac number, because 1013431131 - 2¹¹ = 1013429083 is a prime.

It is a super-2 number, since 2×1013431131² = 2054085314559878322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013431151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178236 + ... + 183833.

It is an arithmetic number, because the mean of its divisors is an integer number (122379660).

Almost surely, 2^1013431131 is an apocalyptic number.

1013431131 is a deficient number, since it is larger than the sum of its proper divisors (455124789).

1013431131 is a wasteful number, since it uses less digits than its factorization.

1013431131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362386 (or 362383 counting only the distinct ones).

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

The square root of 1013431131 is about 31834.4331031668. The cubic root of 1013431131 is about 1004.4571479830.

Adding to 1013431131 its reverse (1311343101), we get a palindrome (2324774232).

The spelling of 1013431131 in words is "one billion, thirteen million, four hundred thirty-one thousand, one hundred thirty-one".