2013310007101 has 2 divisors, whose sum is σ = 2013310007102. Its totient is φ = 2013310007100.

The previous prime is 2013310007057. The next prime is 2013310007113. The reversal of 2013310007101 is 1017000133102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1946376555876 + 66933451225 = 1395126^2 + 258715^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013310007101 - 2⁷ = 2013310006973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013310007161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006655003550 + 1006655003551.

It is an arithmetic number, because the mean of its divisors is an integer number (1006655003551).

Almost surely, 2^{2013310007101} is an apocalyptic number.

It is an amenable number.

2013310007101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013310007101 is an equidigital number, since it uses as much as digits as its factorization.

2013310007101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The spelling of 2013310007101 in words is "two trillion, thirteen billion, three hundred ten million, seven thousand, one hundred one".