1013022120 has 256 divisors, whose sum is σ = 3522631680. Its totient is φ = 230630400.

The previous prime is 1013022091. The next prime is 1013022133. The reversal of 1013022120 is 212203101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1013022096 and 1013022105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1851687 + ... + 1852233.

It is an arithmetic number, because the mean of its divisors is an integer number (13760280).

Almost surely, 2^1013022120 is an apocalyptic number.

1013022120 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 1013022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761315840).

1013022120 is an abundant number, since it is smaller than the sum of its proper divisors (2509609560).

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

1013022120 is a wasteful number, since it uses less digits than its factorization.

1013022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1013022120 is about 31828.0084202578. The cubic root of 1013022120 is about 1004.3220000709.

Adding to 1013022120 its reverse (212203101), we get a palindrome (1225225221).

The spelling of 1013022120 in words is "one billion, thirteen million, twenty-two thousand, one hundred twenty".