11301010322000 has 160 divisors (see below), whose sum is σ = 31234814058240. Its totient is φ = 3873977126400.

The previous prime is 11301010321981. The next prime is 11301010322089. The reversal of 11301010322000 is 22301010311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86692871 + ... + 86823129.

It is an arithmetic number, because the mean of its divisors is an integer number (195217587864).

Almost surely, 2^{11301010322000} is an apocalyptic number.

11301010322000 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 11301010322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15617407029120).

11301010322000 is an abundant number, since it is smaller than the sum of its proper divisors (19933803736240).

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

11301010322000 is a wasteful number, since it uses less digits than its factorization.

11301010322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136486 (or 136470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11301010322000 its reverse (22301010311), we get a palindrome (11323311332311).

The spelling of 11301010322000 in words is "eleven trillion, three hundred one billion, ten million, three hundred twenty-two thousand".