133212242013101 has 2 divisors, whose sum is σ = 133212242013102. Its totient is φ = 133212242013100.

The previous prime is 133212242013089. The next prime is 133212242013119. The reversal of 133212242013101 is 101310242212331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126905744910025 + 6306497103076 = 11265245^2 + 2511274^2 .

It is a cyclic number.

It is not a de Polignac number, because 133212242013101 - 2¹⁸ = 133212241750957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133212242013181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66606121006550 + 66606121006551.

It is an arithmetic number, because the mean of its divisors is an integer number (66606121006551).

Almost surely, 2^{133212242013101} is an apocalyptic number.

It is an amenable number.

133212242013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

133212242013101 is an equidigital number, since it uses as much as digits as its factorization.

133212242013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 133212242013101 its reverse (101310242212331), we get a palindrome (234522484225432).

The spelling of 133212242013101 in words is "one hundred thirty-three trillion, two hundred twelve billion, two hundred forty-two million, thirteen thousand, one hundred one".