1001331120 has 80 divisors (see below), whose sum is σ = 3162735072. Its totient is φ = 261980160.

The previous prime is 1001331109. The next prime is 1001331131. The reversal of 1001331120 is 211331001.

It is an interprime number because it is at equal distance from previous prime (1001331109) and next prime (1001331131).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1001331096 and 1001331105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26641 + ... + 52080.

Almost surely, 2^1001331120 is an apocalyptic number.

1001331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001331120 is an abundant number, since it is smaller than the sum of its proper divisors (2161403952).

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

1001331120 is a wasteful number, since it uses less digits than its factorization.

1001331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78790 (or 78784 counting only the distinct ones).

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

The square root of 1001331120 is about 31643.8164575640. The cubic root of 1001331120 is about 1000.4435099365.

Adding to 1001331120 its reverse (211331001), we get a palindrome (1212662121).

The spelling of 1001331120 in words is "one billion, one million, three hundred thirty-one thousand, one hundred twenty".