1311178320 has 160 divisors (see below), whose sum is σ = 4528103040. Its totient is φ = 348733440.

The previous prime is 1311178303. The next prime is 1311178333. The reversal of 1311178320 is 238711131.

It is a happy number.

1311178320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384087 + ... + 1385033.

It is an arithmetic number, because the mean of its divisors is an integer number (28300644).

Almost surely, 2^1311178320 is an apocalyptic number.

1311178320 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 1311178320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264051520).

1311178320 is an abundant number, since it is smaller than the sum of its proper divisors (3216924720).

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

1311178320 is a wasteful number, since it uses less digits than its factorization.

1311178320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1311178320 is about 36210.1963540658. The cubic root of 1311178320 is about 1094.5121489796.

Adding to 1311178320 its reverse (238711131), we get a palindrome (1549889451).

The spelling of 1311178320 in words is "one billion, three hundred eleven million, one hundred seventy-eight thousand, three hundred twenty".