2013011101 has 2 divisors, whose sum is σ = 2013011102. Its totient is φ = 2013011100.

The previous prime is 2013011059. The next prime is 2013011113. The reversal of 2013011101 is 1011103102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1332323001 + 680688100 = 36501^2 + 26090^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013011101 - 2¹³ = 2013002909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013011141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006505550 + 1006505551.

It is an arithmetic number, because the mean of its divisors is an integer number (1006505551).

Almost surely, 2^2013011101 is an apocalyptic number.

It is an amenable number.

2013011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013011101 is an equidigital number, since it uses as much as digits as its factorization.

2013011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 2013011101 is about 44866.5922597204. The cubic root of 2013011101 is about 1262.6473064860.

Adding to 2013011101 its reverse (1011103102), we get a palindrome (3024114203).

The spelling of 2013011101 in words is "two billion, thirteen million, eleven thousand, one hundred one".