2113313200133 has 2 divisors, whose sum is σ = 2113313200134. Its totient is φ = 2113313200132.

The previous prime is 2113313200109. The next prime is 2113313200153. The reversal of 2113313200133 is 3310023133112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1950821171524 + 162492028609 = 1396718^2 + 403103^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113313200133 - 2⁶ = 2113313200069 is a prime.

It is a super-2 number, since 2×2113313200133² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2113313200099 and 2113313200108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113313200153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056656600066 + 1056656600067.

It is an arithmetic number, because the mean of its divisors is an integer number (1056656600067).

Almost surely, 2^{2113313200133} is an apocalyptic number.

It is an amenable number.

2113313200133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113313200133 is an equidigital number, since it uses as much as digits as its factorization.

2113313200133 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 2113313200133 its reverse (3310023133112), we get a palindrome (5423336333245).

The spelling of 2113313200133 in words is "two trillion, one hundred thirteen billion, three hundred thirteen million, two hundred thousand, one hundred thirty-three".