1010013120 has 84 divisors (see below), whose sum is σ = 3474034200. Its totient is φ = 269336064.

The previous prime is 1010013089. The next prime is 1010013149. The reversal of 1010013120 is 213100101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172470 + ... + 178229.

It is an arithmetic number, because the mean of its divisors is an integer number (41357550).

Almost surely, 2^1010013120 is an apocalyptic number.

1010013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010013120 is an abundant number, since it is smaller than the sum of its proper divisors (2464021080).

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

1010013120 is a wasteful number, since it uses less digits than its factorization.

1010013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350722 (or 350709 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1010013120 is about 31780.7035793734. The cubic root of 1010013120 is about 1003.3266279419.

Adding to 1010013120 its reverse (213100101), we get a palindrome (1223113221).

It can be divided in two parts, 10100 and 13120, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 1010013120 in words is "one billion, ten million, thirteen thousand, one hundred twenty".