1311313034880 has 768 divisors, whose sum is σ = 5060392012800. Its totient is φ = 320545382400.

The previous prime is 1311313034869. The next prime is 1311313034897. The reversal of 1311313034880 is 884303131131.

1311313034880 is a `hidden beast` number, since 1 + 31 + 13 + 130 + 3 + 488 + 0 = 666.

It is a super-2 number, since 2×1311313034880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193377090 + ... + 193383870.

It is an arithmetic number, because the mean of its divisors is an integer number (6589052100).

Almost surely, 2^{1311313034880} is an apocalyptic number.

1311313034880 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 1311313034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530196006400).

1311313034880 is an abundant number, since it is smaller than the sum of its proper divisors (3749078977920).

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

1311313034880 is a wasteful number, since it uses less digits than its factorization.

1311313034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1311313034880 in words is "one trillion, three hundred eleven billion, three hundred thirteen million, thirty-four thousand, eight hundred eighty".