1311010560 has 216 divisors, whose sum is σ = 4562943840. Its totient is φ = 347529216.

The previous prime is 1311010559. The next prime is 1311010601. The reversal of 1311010560 is 650101131.

1311010560 is a `hidden beast` number, since 1 + 3 + 1 + 101 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3651661 + ... + 3652019.

It is an arithmetic number, because the mean of its divisors is an integer number (21124740).

Almost surely, 2^1311010560 is an apocalyptic number.

1311010560 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 1311010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281471920).

1311010560 is an abundant number, since it is smaller than the sum of its proper divisors (3251933280).

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

1311010560 is a wasteful number, since it uses less digits than its factorization.

1311010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1311010560 is about 36207.8798053683. The cubic root of 1311010560 is about 1094.4654675107.

Adding to 1311010560 its reverse (650101131), we get a palindrome (1961111691).

The spelling of 1311010560 in words is "one billion, three hundred eleven million, ten thousand, five hundred sixty".