2011300213000 has 128 divisors (see below), whose sum is σ = 5069508444000. Its totient is φ = 742482739200.

The previous prime is 2011300212997. The next prime is 2011300213051. The reversal of 2011300213000 is 3120031102.

It can be written as a sum of positive squares in 16 ways, for example, as 1033918845124 + 977381367876 = 1016818^2 + 988626^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 79144296 + ... + 79169704.

Almost surely, 2^{2011300213000} is an apocalyptic number.

2011300213000 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 2011300213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534754222000).

2011300213000 is an abundant number, since it is smaller than the sum of its proper divisors (3058208231000).

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

2011300213000 is a wasteful number, since it uses less digits than its factorization.

2011300213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31532 (or 31518 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2011300213000 its reverse (3120031102), we get a palindrome (2014420244102).

The spelling of 2011300213000 in words is "two trillion, eleven billion, three hundred million, two hundred thirteen thousand".