2013012213101 has 2 divisors, whose sum is σ = 2013012213102. Its totient is φ = 2013012213100.

The previous prime is 2013012213031. The next prime is 2013012213119. The reversal of 2013012213101 is 1013122103102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1085159724100 + 927852489001 = 1041710^2 + 963251^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013012213101 - 2¹⁰ = 2013012212077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013012213101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013012203101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006506106550 + 1006506106551.

It is an arithmetic number, because the mean of its divisors is an integer number (1006506106551).

Almost surely, 2^{2013012213101} is an apocalyptic number.

It is an amenable number.

2013012213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013012213101 is an equidigital number, since it uses as much as digits as its factorization.

2013012213101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2013012213101 its reverse (1013122103102), we get a palindrome (3026134316203).

The spelling of 2013012213101 in words is "two trillion, thirteen billion, twelve million, two hundred thirteen thousand, one hundred one".