11302131120000 has 640 divisors, whose sum is σ = 42935294307840. Its totient is φ = 2579641344000.

The previous prime is 11302131119999. The next prime is 11302131120121. The reversal of 11302131120000 is 2113120311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1271755557 + ... + 1271764443.

It is an arithmetic number, because the mean of its divisors is an integer number (67086397356).

Almost surely, 2^{11302131120000} is an apocalyptic number.

11302131120000 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 11302131120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21467647153920).

11302131120000 is an abundant number, since it is smaller than the sum of its proper divisors (31633163187840).

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

11302131120000 is an frugal number, since it uses more digits than its factorization.

11302131120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9688 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11302131120000 its reverse (2113120311), we get a palindrome (11304244240311).

The spelling of 11302131120000 in words is "eleven trillion, three hundred two billion, one hundred thirty-one million, one hundred twenty thousand".