1013212120 has 32 divisors (see below), whose sum is σ = 2280730320. Its totient is φ = 405106560.

The previous prime is 1013212061. The next prime is 1013212129. The reversal of 1013212120 is 212123101.

1013212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013212120² = 2053197600229788800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1013212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013212129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123259 + ... + 131221.

Almost surely, 2^1013212120 is an apocalyptic number.

1013212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013212120 is an abundant number, since it is smaller than the sum of its proper divisors (1267518200).

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

1013212120 is a wasteful number, since it uses less digits than its factorization.

1013212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155 (or 11151 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1013212120 is about 31830.9930727899. The cubic root of 1013212120 is about 1004.3847855545.

Adding to 1013212120 its reverse (212123101), we get a palindrome (1225335221).

The spelling of 1013212120 in words is "one billion, thirteen million, two hundred twelve thousand, one hundred twenty".