233413314137 has 2 divisors, whose sum is σ = 233413314138. Its totient is φ = 233413314136.

The previous prime is 233413314089. The next prime is 233413314161. The reversal of 233413314137 is 731413314332.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215236612096 + 18176702041 = 463936^2 + 134821^2 .

It is a cyclic number.

It is not a de Polignac number, because 233413314137 - 2¹⁴ = 233413297753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233413314097 and 233413314106.

It is not a weakly prime, because it can be changed into another prime (233413314737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116706657068 + 116706657069.

It is an arithmetic number, because the mean of its divisors is an integer number (116706657069).

Almost surely, 2^233413314137 is an apocalyptic number.

It is an amenable number.

233413314137 is a deficient number, since it is larger than the sum of its proper divisors (1).

233413314137 is an equidigital number, since it uses as much as digits as its factorization.

233413314137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54432, while the sum is 35.

Adding to 233413314137 its reverse (731413314332), we get a palindrome (964826628469).

The spelling of 233413314137 in words is "two hundred thirty-three billion, four hundred thirteen million, three hundred fourteen thousand, one hundred thirty-seven".