1013355018 has 96 divisors (see below), whose sum is σ = 2435968080. Its totient is φ = 302515200.

The previous prime is 1013354983. The next prime is 1013355019. The reversal of 1013355018 is 8105533101.

1013355018 is a `hidden beast` number, since 101 + 3 + 3 + 550 + 1 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 889411329 + 123943689 = 29823^2 + 11133^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1013354982 and 1013355000.

It is not an unprimeable number, because it can be changed into a prime (1013355019) 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 47 ways as a sum of consecutive naturals, for example, 1252198 + ... + 1253006.

Almost surely, 2^1013355018 is an apocalyptic number.

1013355018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013355018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217984040).

1013355018 is an abundant number, since it is smaller than the sum of its proper divisors (1422613062).

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

1013355018 is a wasteful number, since it uses less digits than its factorization.

1013355018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1013355018 is about 31833.2376298736. The cubic root of 1013355018 is about 1004.4320010149.

Adding to 1013355018 its reverse (8105533101), we get a palindrome (9118888119).

The spelling of 1013355018 in words is "one billion, thirteen million, three hundred fifty-five thousand, eighteen".