123334331314133 has 2 divisors, whose sum is σ = 123334331314134. Its totient is φ = 123334331314132.

The previous prime is 123334331314111. The next prime is 123334331314217. The reversal of 123334331314133 is 331413133433321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67449706051729 + 55884625262404 = 8212777^2 + 7475602^2 .

It is an emirp because it is prime and its reverse (331413133433321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123334331314133 - 2⁶ = 123334331314069 is a prime.

It is a super-2 number, since 2×123334331314133² (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 (123333331314133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61667165657066 + 61667165657067.

It is an arithmetic number, because the mean of its divisors is an integer number (61667165657067).

Almost surely, 2^{123334331314133} is an apocalyptic number.

It is an amenable number.

123334331314133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123334331314133 is an equidigital number, since it uses as much as digits as its factorization.

123334331314133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 209952, while the sum is 38.

Adding to 123334331314133 its reverse (331413133433321), we get a palindrome (454747464747454).

The spelling of 123334331314133 in words is "one hundred twenty-three trillion, three hundred thirty-four billion, three hundred thirty-one million, three hundred fourteen thousand, one hundred thirty-three".