1331131120 has 80 divisors (see below), whose sum is σ = 3381783552. Its totient is φ = 483252480.

The previous prime is 1331131111. The next prime is 1331131157. The reversal of 1331131120 is 211311331.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 1331131094 and 1331131103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934729 + ... + 936151.

Almost surely, 2^1331131120 is an apocalyptic number.

1331131120 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 1331131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690891776).

1331131120 is an abundant number, since it is smaller than the sum of its proper divisors (2050652432).

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

1331131120 is a wasteful number, since it uses less digits than its factorization.

1331131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1331131120 is about 36484.6696572684. The cubic root of 1331131120 is about 1100.0361200261.

Adding to 1331131120 its reverse (211311331), we get a palindrome (1542442451).

It can be divided in two parts, 13311311 and 20, that added together give a palindrome (13311331).

The spelling of 1331131120 in words is "one billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty".