2011130130001 has 16 divisors (see below), whose sum is σ = 2131894242000. Its totient is φ = 1890640908288.

The previous prime is 2011130129993. The next prime is 2011130130073. The reversal of 2011130130001 is 1000310311102.

It can be written as a sum of positive squares in 8 ways, for example, as 106732890000 + 1904397240001 = 326700^2 + 1379999^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011130130001 - 2³ = 2011130129993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011130134001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54464521 + ... + 54501433.

It is an arithmetic number, because the mean of its divisors is an integer number (133243390125).

Almost surely, 2^{2011130130001} is an apocalyptic number.

It is an amenable number.

2011130130001 is a deficient number, since it is larger than the sum of its proper divisors (120764111999).

2011130130001 is a wasteful number, since it uses less digits than its factorization.

2011130130001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40548.

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

Adding to 2011130130001 its reverse (1000310311102), we get a palindrome (3011440441103).

The spelling of 2011130130001 in words is "two trillion, eleven billion, one hundred thirty million, one hundred thirty thousand, one".