132105021331193 has 2 divisors, whose sum is σ = 132105021331194. Its totient is φ = 132105021331192.

The previous prime is 132105021331117. The next prime is 132105021331249. The reversal of 132105021331193 is 391133120501231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129439155299689 + 2665866031504 = 11377133^2 + 1632748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-132105021331193 is a prime.

It is not a weakly prime, because it can be changed into another prime (132105021331993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66052510665596 + 66052510665597.

It is an arithmetic number, because the mean of its divisors is an integer number (66052510665597).

Almost surely, 2^{132105021331193} is an apocalyptic number.

It is an amenable number.

132105021331193 is a deficient number, since it is larger than the sum of its proper divisors (1).

132105021331193 is an equidigital number, since it uses as much as digits as its factorization.

132105021331193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 35.

The spelling of 132105021331193 in words is "one hundred thirty-two trillion, one hundred five billion, twenty-one million, three hundred thirty-one thousand, one hundred ninety-three".