1013441129 has 12 divisors (see below), whose sum is σ = 1045940868. Its totient is φ = 981684000.

The previous prime is 1013441113. The next prime is 1013441147. The reversal of 1013441129 is 9211443101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 179560000 + 833881129 = 13400^2 + 28877^2 .

It is not a de Polignac number, because 1013441129 - 2⁴ = 1013441113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013441098 and 1013441107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013441929) 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 11 ways as a sum of consecutive naturals, for example, 271979 + ... + 275679.

It is an arithmetic number, because the mean of its divisors is an integer number (87161739).

Almost surely, 2^1013441129 is an apocalyptic number.

It is an amenable number.

1013441129 is a deficient number, since it is larger than the sum of its proper divisors (32499739).

1013441129 is an frugal number, since it uses more digits than its factorization.

1013441129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1013441129 is about 31834.5901340036. The cubic root of 1013441129 is about 1004.4604511279.

The spelling of 1013441129 in words is "one billion, thirteen million, four hundred forty-one thousand, one hundred twenty-nine".