133311334323121 has 2 divisors, whose sum is σ = 133311334323122. Its totient is φ = 133311334323120.

The previous prime is 133311334323107. The next prime is 133311334323149. The reversal of 133311334323121 is 121323433113331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126679864696225 + 6631469626896 = 11255215^2 + 2575164^2 .

It is a cyclic number.

It is not a de Polignac number, because 133311334323121 - 2³⁷ = 133173895369649 is a prime.

It is a super-2 number, since 2×133311334323121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133311334323161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66655667161560 + 66655667161561.

It is an arithmetic number, because the mean of its divisors is an integer number (66655667161561).

Almost surely, 2^{133311334323121} is an apocalyptic number.

It is an amenable number.

133311334323121 is a deficient number, since it is larger than the sum of its proper divisors (1).

133311334323121 is an equidigital number, since it uses as much as digits as its factorization.

133311334323121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34992, while the sum is 34.

Adding to 133311334323121 its reverse (121323433113331), we get a palindrome (254634767436452).

The spelling of 133311334323121 in words is "one hundred thirty-three trillion, three hundred eleven billion, three hundred thirty-four million, three hundred twenty-three thousand, one hundred twenty-one".