1331601120 has 288 divisors, whose sum is σ = 4879012320. Its totient is φ = 342558720.

The previous prime is 1331601113. The next prime is 1331601151. The reversal of 1331601120 is 211061331.

1331601120 is a `hidden beast` number, since 13 + 31 + 601 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1331601093 and 1331601102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126930 + ... + 1128110.

It is an arithmetic number, because the mean of its divisors is an integer number (16941015).

Almost surely, 2^1331601120 is an apocalyptic number.

1331601120 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 1331601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439506160).

1331601120 is an abundant number, since it is smaller than the sum of its proper divisors (3547411200).

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

1331601120 is a wasteful number, since it uses less digits than its factorization.

1331601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1331601120 is about 36491.1101502818. The cubic root of 1331601120 is about 1100.1655728727.

Adding to 1331601120 its reverse (211061331), we get a palindrome (1542662451).

The spelling of 1331601120 in words is "one billion, three hundred thirty-one million, six hundred one thousand, one hundred twenty".