1010331120 has 160 divisors (see below), whose sum is σ = 3301788672. Its totient is φ = 255062016.

The previous prime is 1010331109. The next prime is 1010331149. The reversal of 1010331120 is 211330101.

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 = 1010331096 and 1010331105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567672 + ... + 569448.

Almost surely, 2^1010331120 is an apocalyptic number.

1010331120 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 1010331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650894336).

1010331120 is an abundant number, since it is smaller than the sum of its proper divisors (2291457552).

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

1010331120 is a wasteful number, since it uses less digits than its factorization.

1010331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1010331120 is about 31785.7062215078. The cubic root of 1010331120 is about 1003.4319151513.

Adding to 1010331120 its reverse (211330101), we get a palindrome (1221661221).

The spelling of 1010331120 in words is "one billion, ten million, three hundred thirty-one thousand, one hundred twenty".