133112312006981 has 2 divisors, whose sum is σ = 133112312006982. Its totient is φ = 133112312006980.

The previous prime is 133112312006939. The next prime is 133112312007007. The reversal of 133112312006981 is 189600213211331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75515839300225 + 57596472706756 = 8689985^2 + 7589234^2 .

It is a cyclic number.

It is not a de Polignac number, because 133112312006981 - 2¹⁴ = 133112311990597 is a prime.

It is a super-2 number, since 2×133112312006981² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133112312006381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66556156003490 + 66556156003491.

It is an arithmetic number, because the mean of its divisors is an integer number (66556156003491).

Almost surely, 2^{133112312006981} is an apocalyptic number.

It is an amenable number.

133112312006981 is a deficient number, since it is larger than the sum of its proper divisors (1).

133112312006981 is an equidigital number, since it uses as much as digits as its factorization.

133112312006981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 133112312006981 in words is "one hundred thirty-three trillion, one hundred twelve billion, three hundred twelve million, six thousand, nine hundred eighty-one".