1331013120 has 80 divisors (see below), whose sum is σ = 4255107120. Its totient is φ = 354934784.

The previous prime is 1331013097. The next prime is 1331013121. The reversal of 1331013120 is 213101331.

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

It is a super-2 number, since 2×1331013120² = 3543191851224268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1331013120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78975 + ... + 94334.

It is an arithmetic number, because the mean of its divisors is an integer number (53188839).

Almost surely, 2^1331013120 is an apocalyptic number.

1331013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331013120 is an abundant number, since it is smaller than the sum of its proper divisors (2924094000).

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

1331013120 is an equidigital number, since it uses as much as digits as its factorization.

1331013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173335 (or 173319 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1331013120 is about 36483.0525038681. The cubic root of 1331013120 is about 1100.0036143132.

Adding to 1331013120 its reverse (213101331), we get a palindrome (1544114451).

The spelling of 1331013120 in words is "one billion, three hundred thirty-one million, thirteen thousand, one hundred twenty".