2013132103249 has 2 divisors, whose sum is σ = 2013132103250. Its totient is φ = 2013132103248.

The previous prime is 2013132103201. The next prime is 2013132103289. The reversal of 2013132103249 is 9423012313102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1929918316225 + 83213787024 = 1389215^2 + 288468^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013132103249 - 2³¹ = 2010984619601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013132103249.

It is not a weakly prime, because it can be changed into another prime (2013132103289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006566051624 + 1006566051625.

It is an arithmetic number, because the mean of its divisors is an integer number (1006566051625).

Almost surely, 2^{2013132103249} is an apocalyptic number.

It is an amenable number.

2013132103249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013132103249 is an equidigital number, since it uses as much as digits as its factorization.

2013132103249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 2013132103249 in words is "two trillion, thirteen billion, one hundred thirty-two million, one hundred three thousand, two hundred forty-nine".