133031113133 has 2 divisors, whose sum is σ = 133031113134. Its totient is φ = 133031113132.

The previous prime is 133031113091. The next prime is 133031113141. The reversal of 133031113133 is 331311130331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119054671849 + 13976441284 = 345043^2 + 118222^2 .

It is an emirp because it is prime and its reverse (331311130331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133031113133 - 2³⁰ = 131957371309 is a prime.

It is a super-2 number, since 2×133031113133² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133031113099 and 133031113108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133031113153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66515556566 + 66515556567.

It is an arithmetic number, because the mean of its divisors is an integer number (66515556567).

Almost surely, 2^133031113133 is an apocalyptic number.

It is an amenable number.

133031113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

133031113133 is an equidigital number, since it uses as much as digits as its factorization.

133031113133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 133031113133 its reverse (331311130331), we get a palindrome (464342243464).

The spelling of 133031113133 in words is "one hundred thirty-three billion, thirty-one million, one hundred thirteen thousand, one hundred thirty-three".