11314102102000 has 320 divisors, whose sum is σ = 29045340979200. Its totient is φ = 4250620800000.

The previous prime is 11314102101947. The next prime is 11314102102001. The reversal of 11314102102000 is 20120141311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314102102001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6079581070 + ... + 6079582930.

It is an arithmetic number, because the mean of its divisors is an integer number (90766690560).

Almost surely, 2^{11314102102000} is an apocalyptic number.

11314102102000 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 11314102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522670489600).

11314102102000 is an abundant number, since it is smaller than the sum of its proper divisors (17731238877200).

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

11314102102000 is a wasteful number, since it uses less digits than its factorization.

11314102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11314102102000 its reverse (20120141311), we get a palindrome (11334222243311).

The spelling of 11314102102000 in words is "eleven trillion, three hundred fourteen billion, one hundred two million, one hundred two thousand".