1331010120 has 128 divisors (see below), whose sum is σ = 4375296000. Its totient is φ = 321242880.

The previous prime is 1331010119. The next prime is 1331010127. The reversal of 1331010120 is 210101331.

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 = 1331010096 and 1331010105.

It is not an unprimeable number, because it can be changed into a prime (1331010127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313371 + ... + 317589.

It is an arithmetic number, because the mean of its divisors is an integer number (34182000).

Almost surely, 2^1331010120 is an apocalyptic number.

1331010120 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 1331010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187648000).

1331010120 is an abundant number, since it is smaller than the sum of its proper divisors (3044285880).

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

1331010120 is a wasteful number, since it uses less digits than its factorization.

1331010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4479 counting only the distinct ones).

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

The square root of 1331010120 is about 36483.0113888643. The cubic root of 1331010120 is about 1100.0027878717.

Adding to 1331010120 its reverse (210101331), we get a palindrome (1541111451).

The spelling of 1331010120 in words is "one billion, three hundred thirty-one million, ten thousand, one hundred twenty".