1311128280 has 576 divisors, whose sum is σ = 5617965600. Its totient is φ = 261918720.

The previous prime is 1311128261. The next prime is 1311128311. The reversal of 1311128280 is 828211131.

1311128280 = T₁₂₅ + T₁₂₆ + ... + T₁₉₈₈.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5627044 + ... + 5627276.

Almost surely, 2^1311128280 is an apocalyptic number.

1311128280 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 1311128280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808982800).

1311128280 is an abundant number, since it is smaller than the sum of its proper divisors (4306837320).

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

1311128280 is a wasteful number, since it uses less digits than its factorization.

1311128280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1311128280 is about 36209.5053818745. The cubic root of 1311128280 is about 1094.4982250955.

The spelling of 1311128280 in words is "one billion, three hundred eleven million, one hundred twenty-eight thousand, two hundred eighty".