2013011130100 has 36 divisors (see below), whose sum is σ = 4518862922700. Its totient is φ = 777438780160.

The previous prime is 2013011130083. The next prime is 2013011130131. The reversal of 2013011130100 is 10311103102.

It can be written as a sum of positive squares in 6 ways, for example, as 34715664 + 2012976414436 = 5892^2 + 1418794^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347067985 + ... + 347073784.

It is an arithmetic number, because the mean of its divisors is an integer number (125523970075).

Almost surely, 2^{2013011130100} is an apocalyptic number.

2013011130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013011130100 is an abundant number, since it is smaller than the sum of its proper divisors (2505851792600).

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

2013011130100 is a wasteful number, since it uses less digits than its factorization.

2013011130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694141812 (or 694141805 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 2013011130100 its reverse (10311103102), we get a palindrome (2023322233202).

The spelling of 2013011130100 in words is "two trillion, thirteen billion, eleven million, one hundred thirty thousand, one hundred".