1311376000 has 128 divisors (see below), whose sum is σ = 3557286720. Its totient is φ = 476800000.

The previous prime is 1311375997. The next prime is 1311376009. The reversal of 1311376000 is 6731131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1311376009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172275 + ... + 179725.

Almost surely, 2^1311376000 is an apocalyptic number.

1311376000 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 1311376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778643360).

1311376000 is an abundant number, since it is smaller than the sum of its proper divisors (2245910720).

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

1311376000 is an equidigital number, since it uses as much as digits as its factorization.

1311376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 1311376000 is about 36212.9258690871. The cubic root of 1311376000 is about 1094.5671509794.

The spelling of 1311376000 in words is "one billion, three hundred eleven million, three hundred seventy-six thousand".