131413330322233 has 2 divisors, whose sum is σ = 131413330322234. Its totient is φ = 131413330322232.

The previous prime is 131413330322221. The next prime is 131413330322273. The reversal of 131413330322233 is 332223033314131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79126504414864 + 52286825907369 = 8895308^2 + 7230963^2 .

It is a cyclic number.

It is not a de Polignac number, because 131413330322233 - 2²⁵ = 131413296767801 is a prime.

It is a super-2 number, since 2×131413330322233² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131413330322273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706665161116 + 65706665161117.

It is an arithmetic number, because the mean of its divisors is an integer number (65706665161117).

Almost surely, 2^{131413330322233} is an apocalyptic number.

It is an amenable number.

131413330322233 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413330322233 is an equidigital number, since it uses as much as digits as its factorization.

131413330322233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 34.

Adding to 131413330322233 its reverse (332223033314131), we get a palindrome (463636363636364).

The spelling of 131413330322233 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, three hundred twenty-two thousand, two hundred thirty-three".