1311260393800 has 192 divisors, whose sum is σ = 3558687408000. Its totient is φ = 449148268800.

The previous prime is 1311260393771. The next prime is 1311260393819. The reversal of 1311260393800 is 83930621131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311260393800.

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 47 ways as a sum of consecutive naturals, for example, 77029290 + ... + 77046310.

It is an arithmetic number, because the mean of its divisors is an integer number (18534830250).

Almost surely, 2^{1311260393800} is an apocalyptic number.

1311260393800 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 1311260393800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779343704000).

1311260393800 is an abundant number, since it is smaller than the sum of its proper divisors (2247427014200).

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

1311260393800 is a wasteful number, since it uses less digits than its factorization.

1311260393800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18181 (or 18158 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 1311260393800 in words is "one trillion, three hundred eleven billion, two hundred sixty million, three hundred ninety-three thousand, eight hundred".