1013134431 has 16 divisors (see below), whose sum is σ = 1435644000. Its totient is φ = 633320448.

The previous prime is 1013134427. The next prime is 1013134433. The reversal of 1013134431 is 1344313101.

It is not a de Polignac number, because 1013134431 - 2² = 1013134427 is a prime.

It is a super-2 number, since 2×1013134431² = 2052882750555387522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013134398 and 1013134407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013134433) 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 15 ways as a sum of consecutive naturals, for example, 23206 + ... + 50643.

It is an arithmetic number, because the mean of its divisors is an integer number (89727750).

Almost surely, 2^1013134431 is an apocalyptic number.

1013134431 is a deficient number, since it is larger than the sum of its proper divisors (422509569).

1013134431 is a wasteful number, since it uses less digits than its factorization.

1013134431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74138.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1013134431 is about 31829.7727136089. The cubic root of 1013134431 is about 1004.3591141798.

Adding to 1013134431 its reverse (1344313101), we get a palindrome (2357447532).

The spelling of 1013134431 in words is "one billion, thirteen million, one hundred thirty-four thousand, four hundred thirty-one".