131413330414033 has 2 divisors, whose sum is σ = 131413330414034. Its totient is φ = 131413330414032.

The previous prime is 131413330413997. The next prime is 131413330414099. The reversal of 131413330414033 is 330414033314131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104611411232784 + 26801919181249 = 10227972^2 + 5177057^2 .

It is a cyclic number.

It is not a de Polignac number, because 131413330414033 - 2⁴¹ = 129214307158481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131413330414033.

It is not a weakly prime, because it can be changed into another prime (131413330414433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706665207016 + 65706665207017.

It is an arithmetic number, because the mean of its divisors is an integer number (65706665207017).

Almost surely, 2^{131413330414033} is an apocalyptic number.

It is an amenable number.

131413330414033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413330414033 is an equidigital number, since it uses as much as digits as its factorization.

131413330414033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 131413330414033 its reverse (330414033314131), we get a palindrome (461827363728164).

The spelling of 131413330414033 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, four hundred fourteen thousand, thirty-three".