11311300000 has 576 divisors, whose sum is σ = 37703086848. Its totient is φ = 3225600000.

The previous prime is 11311299959. The next prime is 11311300037. The reversal of 11311300000 is 311311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11311300000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100099944 + ... + 100100056.

It is an arithmetic number, because the mean of its divisors is an integer number (65456748).

Almost surely, 2^11311300000 is an apocalyptic number.

11311300000 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 11311300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18851543424).

11311300000 is an abundant number, since it is smaller than the sum of its proper divisors (26391786848).

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

11311300000 is a wasteful number, since it uses less digits than its factorization.

11311300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11311300000 its reverse (311311), we get a palindrome (11311611311).

The spelling of 11311300000 in words is "eleven billion, three hundred eleven million, three hundred thousand".