1013230080 has 320 divisors, whose sum is σ = 3659230080. Its totient is φ = 265715712.

The previous prime is 1013230067. The next prime is 1013230123. The reversal of 1013230080 is 800323101.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×1013230080³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7395772 + ... + 7395908.

It is an arithmetic number, because the mean of its divisors is an integer number (11435094).

Almost surely, 2^1013230080 is an apocalyptic number.

1013230080 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 1013230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829615040).

1013230080 is an abundant number, since it is smaller than the sum of its proper divisors (2646000000).

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

1013230080 is a wasteful number, since it uses less digits than its factorization.

1013230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

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

The square root of 1013230080 is about 31831.2751865206. The cubic root of 1013230080 is about 1004.3907200289.

Adding to 1013230080 its reverse (800323101), we get a palindrome (1813553181).

The spelling of 1013230080 in words is "one billion, thirteen million, two hundred thirty thousand, eighty".