1311399936 has 504 divisors, whose sum is σ = 4967980920. Its totient is φ = 340623360.

The previous prime is 1311399889. The next prime is 1311399937. The reversal of 1311399936 is 6399931131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1311399891 and 1311399900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311399937) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119218171 + ... + 119218181.

It is an arithmetic number, because the mean of its divisors is an integer number (9857105).

Almost surely, 2^1311399936 is an apocalyptic number.

1311399936 is a gapful number since it is divisible by the number (16) 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 1311399936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483990460).

1311399936 is an abundant number, since it is smaller than the sum of its proper divisors (3656580984).

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

1311399936 is an equidigital number, since it uses as much as digits as its factorization.

1311399936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 23 counting only the distinct ones).

The product of its digits is 118098, while the sum is 45.

The square root of 1311399936 is about 36213.2563573065. The cubic root of 1311399936 is about 1094.5738104983.

The spelling of 1311399936 in words is "one billion, three hundred eleven million, three hundred ninety-nine thousand, nine hundred thirty-six".