331101120 has 224 divisors, whose sum is σ = 1243584000. Its totient is φ = 73027584.

The previous prime is 331101119. The next prime is 331101139. The reversal of 331101120 is 21101133.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 331101096 and 331101105.

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, 194031 + ... + 195729.

Almost surely, 2^331101120 is an apocalyptic number.

331101120 is a gapful number since it is divisible by the number (30) 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 331101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621792000).

331101120 is an abundant number, since it is smaller than the sum of its proper divisors (912482880).

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

331101120 is a wasteful number, since it uses less digits than its factorization.

331101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1745 counting only the distinct ones).

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

The square root of 331101120 is about 18196.1842153788. The cubic root of 331101120 is about 691.8100762941.

Adding to 331101120 its reverse (21101133), we get a palindrome (352202253).

The spelling of 331101120 in words is "three hundred thirty-one million, one hundred one thousand, one hundred twenty".