1311881760 has 144 divisors (see below), whose sum is σ = 5116378176. Its totient is φ = 299856384.

The previous prime is 1311881743. The next prime is 1311881761. The reversal of 1311881760 is 671881131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1311881761) 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 23 ways as a sum of consecutive naturals, for example, 54994 + ... + 75153.

It is an arithmetic number, because the mean of its divisors is an integer number (35530404).

Almost surely, 2^1311881760 is an apocalyptic number.

1311881760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311881760 is an abundant number, since it is smaller than the sum of its proper divisors (3804496416).

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

1311881760 is a wasteful number, since it uses less digits than its factorization.

1311881760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130175 (or 130164 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1311881760 is about 36219.9083378189. The cubic root of 1311881760 is about 1094.7078472480.

The spelling of 1311881760 in words is "one billion, three hundred eleven million, eight hundred eighty-one thousand, seven hundred sixty".