20130132030013 has 2 divisors, whose sum is σ = 20130132030014. Its totient is φ = 20130132030012.

The previous prime is 20130132029977. The next prime is 20130132030023. The reversal of 20130132030013 is 31003023103102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19583651816964 + 546480213049 = 4425342^2 + 739243^2 .

It is a cyclic number.

It is not a de Polignac number, because 20130132030013 - 2¹⁷ = 20130131898941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20130132030023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065066015006 + 10065066015007.

It is an arithmetic number, because the mean of its divisors is an integer number (10065066015007).

Almost surely, 2^{20130132030013} is an apocalyptic number.

It is an amenable number.

20130132030013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20130132030013 is an equidigital number, since it uses as much as digits as its factorization.

20130132030013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 20130132030013 its reverse (31003023103102), we get a palindrome (51133155133115).

The spelling of 20130132030013 in words is "twenty trillion, one hundred thirty billion, one hundred thirty-two million, thirty thousand, thirteen".