1013434144 has 48 divisors (see below), whose sum is σ = 2115300096. Its totient is φ = 477100800.

The previous prime is 1013434133. The next prime is 1013434171. The reversal of 1013434144 is 4414343101.

1013434144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22899 + ... + 50509.

It is an arithmetic number, because the mean of its divisors is an integer number (44068752).

Almost surely, 2^1013434144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057650048).

1013434144 is an abundant number, since it is smaller than the sum of its proper divisors (1101865952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013434144 is a wasteful number, since it uses less digits than its factorization.

1013434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27689 (or 27681 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1013434144 is about 31834.4804261040. The cubic root of 1013434144 is about 1004.4581434220.

Adding to 1013434144 its reverse (4414343101), we get a palindrome (5427777245).

The spelling of 1013434144 in words is "one billion, thirteen million, four hundred thirty-four thousand, one hundred forty-four".