132101205414315 has 64 divisors (see below), whose sum is σ = 215517891843072. Its totient is φ = 69070751193600.

The previous prime is 132101205414251. The next prime is 132101205414337. The reversal of 132101205414315 is 513414502101231.

It is not a de Polignac number, because 132101205414315 - 2⁶ = 132101205414251 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6473317842 + ... + 6473338248.

It is an arithmetic number, because the mean of its divisors is an integer number (3367467060048).

Almost surely, 2^{132101205414315} is an apocalyptic number.

132101205414315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132101205414315 is a deficient number, since it is larger than the sum of its proper divisors (83416686428757).

132101205414315 is a wasteful number, since it uses less digits than its factorization.

132101205414315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26420.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 132101205414315 its reverse (513414502101231), we get a palindrome (645515707515546).

The spelling of 132101205414315 in words is "one hundred thirty-two trillion, one hundred one billion, two hundred five million, four hundred fourteen thousand, three hundred fifteen".