2011320541000 has 128 divisors (see below), whose sum is σ = 5004740014560. Its totient is φ = 753951744000.

The previous prime is 2011320540947. The next prime is 2011320541031. The reversal of 2011320541000 is 1450231102.

It can be written as a sum of positive squares in 16 ways, for example, as 273041781156 + 1738278759844 = 522534^2 + 1318438^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3707110 + ... + 4214890.

Almost surely, 2^{2011320541000} is an apocalyptic number.

2011320541000 is a gapful number since it is divisible by the number (20) 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 2011320541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502370007280).

2011320541000 is an abundant number, since it is smaller than the sum of its proper divisors (2993419473560).

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

2011320541000 is a wasteful number, since it uses less digits than its factorization.

2011320541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508052 (or 508038 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 2011320541000 its reverse (1450231102), we get a palindrome (2012770772102).

The spelling of 2011320541000 in words is "two trillion, eleven billion, three hundred twenty million, five hundred forty-one thousand".