1311086920 has 256 divisors, whose sum is σ = 3734035200. Its totient is φ = 406978560.

The previous prime is 1311086893. The next prime is 1311086921. The reversal of 1311086920 is 296801131.

It is not an unprimeable number, because it can be changed into a prime (1311086921) 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 63 ways as a sum of consecutive naturals, for example, 9432211 + ... + 9432349.

It is an arithmetic number, because the mean of its divisors is an integer number (14586075).

Almost surely, 2^1311086920 is an apocalyptic number.

1311086920 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 1311086920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867017600).

1311086920 is an abundant number, since it is smaller than the sum of its proper divisors (2422948280).

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

1311086920 is a wasteful number, since it uses less digits than its factorization.

1311086920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1311086920 is about 36208.9342566168. The cubic root of 1311086920 is about 1094.4867161981.

The spelling of 1311086920 in words is "one billion, three hundred eleven million, eighty-six thousand, nine hundred twenty".