20130310131133 has 2 divisors, whose sum is σ = 20130310131134. Its totient is φ = 20130310131132.

The previous prime is 20130310131131. The next prime is 20130310131179. The reversal of 20130310131133 is 33113101303102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13033637905369 + 7096672225764 = 3610213^2 + 2663958^2 .

It is a cyclic number.

It is not a de Polignac number, because 20130310131133 - 2¹ = 20130310131131 is a prime.

Together with 20130310131131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20130310131131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10065155065566 + 10065155065567.

It is an arithmetic number, because the mean of its divisors is an integer number (10065155065567).

Almost surely, 2^{20130310131133} is an apocalyptic number.

It is an amenable number.

20130310131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20130310131133 is an equidigital number, since it uses as much as digits as its factorization.

20130310131133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 20130310131133 its reverse (33113101303102), we get a palindrome (53243411434235).

The spelling of 20130310131133 in words is "twenty trillion, one hundred thirty billion, three hundred ten million, one hundred thirty-one thousand, one hundred thirty-three".