11311202100000 has 576 divisors, whose sum is σ = 40888430722944. Its totient is φ = 2714880000000.

The previous prime is 11311202099999. The next prime is 11311202100041. The reversal of 11311202100000 is 120211311.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 333283032 + ... + 333316968.

It is an arithmetic number, because the mean of its divisors is an integer number (70986858894).

Almost surely, 2^{11311202100000} is an apocalyptic number.

11311202100000 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 11311202100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444215361472).

11311202100000 is an abundant number, since it is smaller than the sum of its proper divisors (29577228622944).

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

11311202100000 is a wasteful number, since it uses less digits than its factorization.

11311202100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34087 (or 34059 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11311202100000 its reverse (120211311), we get a palindrome (11311322311311).

The spelling of 11311202100000 in words is "eleven trillion, three hundred eleven billion, two hundred two million, one hundred thousand".