1013113440 has 192 divisors, whose sum is σ = 3732825600. Its totient is φ = 255923712.

The previous prime is 1013113427. The next prime is 1013113441. The reversal of 1013113440 is 443113101.

1013113440 is a `hidden beast` number, since 10 + 1 + 311 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013113441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75909 + ... + 88251.

It is an arithmetic number, because the mean of its divisors is an integer number (19441800).

Almost surely, 2^1013113440 is an apocalyptic number.

1013113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866412800).

1013113440 is an abundant number, since it is smaller than the sum of its proper divisors (2719712160).

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

1013113440 is a wasteful number, since it uses less digits than its factorization.

1013113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12386 (or 12372 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1013113440 is about 31829.4429734483. The cubic root of 1013113440 is about 1004.3521777368.

Adding to 1013113440 its reverse (443113101), we get a palindrome (1456226541).

The spelling of 1013113440 in words is "one billion, thirteen million, one hundred thirteen thousand, four hundred forty".