2011000001300 has 36 divisors (see below), whose sum is σ = 4364340101856. Its totient is φ = 804313346400.

The previous prime is 2011000001287. The next prime is 2011000001363. The reversal of 2011000001300 is 31000001102.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 146216 + ... + 2010815.

It is an arithmetic number, because the mean of its divisors is an integer number (121231669496).

Almost surely, 2^{2011000001300} is an apocalyptic number.

2011000001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011000001300 is an abundant number, since it is smaller than the sum of its proper divisors (2353340100556).

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

2011000001300 is a wasteful number, since it uses less digits than its factorization.

2011000001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166368 (or 2166361 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 2011000001300 its reverse (31000001102), we get a palindrome (2042000002402).

The spelling of 2011000001300 in words is "two trillion, eleven billion, one thousand, three hundred".