2013201331133 has 2 divisors, whose sum is σ = 2013201331134. Its totient is φ = 2013201331132.

The previous prime is 2013201331129. The next prime is 2013201331177. The reversal of 2013201331133 is 3311331023102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1105301076889 + 907900254244 = 1051333^2 + 952838^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013201331133 - 2² = 2013201331129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013201331099 and 2013201331108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013201331123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006600665566 + 1006600665567.

It is an arithmetic number, because the mean of its divisors is an integer number (1006600665567).

Almost surely, 2^{2013201331133} is an apocalyptic number.

It is an amenable number.

2013201331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013201331133 is an equidigital number, since it uses as much as digits as its factorization.

2013201331133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2013201331133 its reverse (3311331023102), we get a palindrome (5324532354235).

The spelling of 2013201331133 in words is "two trillion, thirteen billion, two hundred one million, three hundred thirty-one thousand, one hundred thirty-three".