11310010002000 has 480 divisors, whose sum is σ = 42956216188704. Its totient is φ = 2761869312000.

The previous prime is 11310010001971. The next prime is 11310010002043. The reversal of 11310010002000 is 20001001311.

It can be written as a sum of positive squares in 16 ways, for example, as 6239244631104 + 5070765370896 = 2497848^2 + 2251836^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 10822530 + ... + 11821470.

Almost surely, 2^{11310010002000} is an apocalyptic number.

11310010002000 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 11310010002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21478108094352).

11310010002000 is an abundant number, since it is smaller than the sum of its proper divisors (31646206186704).

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

11310010002000 is a wasteful number, since it uses less digits than its factorization.

11310010002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999024 (or 999005 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11310010002000 its reverse (20001001311), we get a palindrome (11330011003311).

The spelling of 11310010002000 in words is "eleven trillion, three hundred ten billion, ten million, two thousand".