1013022720 has 256 divisors, whose sum is σ = 3617532000. Its totient is φ = 268959744.

The previous prime is 1013022713. The next prime is 1013022727. The reversal of 1013022720 is 272203101.

It is an interprime number because it is at equal distance from previous prime (1013022713) and next prime (1013022727).

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×1013022720³ (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 a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1013022693 and 1013022702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013022727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423566 + ... + 4423794.

Almost surely, 2^1013022720 is an apocalyptic number.

1013022720 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 1013022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808766000).

1013022720 is an abundant number, since it is smaller than the sum of its proper divisors (2604509280).

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

1013022720 is an frugal number, since it uses more digits than its factorization.

1013022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1013022720 is about 31828.0178459168. The cubic root of 1013022720 is about 1004.3221983532.

Adding to 1013022720 its reverse (272203101), we get a palindrome (1285225821).

The spelling of 1013022720 in words is "one billion, thirteen million, twenty-two thousand, seven hundred twenty".