1013223120 has 320 divisors, whose sum is σ = 4094737920. Its totient is φ = 201129984.

The previous prime is 1013223109. The next prime is 1013223121. The reversal of 1013223120 is 213223101.

1013223120 = 335² + 336² + ... + 1454².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1013223120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013223121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369916 + ... + 372644.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056).

Almost surely, 2^1013223120 is an apocalyptic number.

1013223120 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 1013223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1013223120 is an abundant number, since it is smaller than the sum of its proper divisors (3081514800).

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

1013223120 is a wasteful number, since it uses less digits than its factorization.

1013223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1013223120 is about 31831.1658598927. The cubic root of 1013223120 is about 1004.3884202632.

Adding to 1013223120 its reverse (213223101), we get a palindrome (1226446221).

The spelling of 1013223120 in words is "one billion, thirteen million, two hundred twenty-three thousand, one hundred twenty".