132105002352313 has 2 divisors, whose sum is σ = 132105002352314. Its totient is φ = 132105002352312.

The previous prime is 132105002352277. The next prime is 132105002352317. The reversal of 132105002352313 is 313253200501231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87687735973929 + 44417266378384 = 9364173^2 + 6664628^2 .

It is a cyclic number.

It is not a de Polignac number, because 132105002352313 - 2²¹ = 132105000255161 is a prime.

It is not a weakly prime, because it can be changed into another prime (132105002352317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66052501176156 + 66052501176157.

It is an arithmetic number, because the mean of its divisors is an integer number (66052501176157).

Almost surely, 2^{132105002352313} is an apocalyptic number.

It is an amenable number.

132105002352313 is a deficient number, since it is larger than the sum of its proper divisors (1).

132105002352313 is an equidigital number, since it uses as much as digits as its factorization.

132105002352313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 132105002352313 its reverse (313253200501231), we get a palindrome (445358202853544).

The spelling of 132105002352313 in words is "one hundred thirty-two trillion, one hundred five billion, two million, three hundred fifty-two thousand, three hundred thirteen".