132100000000001 has 16 divisors (see below), whose sum is σ = 144244202025600. Its totient is φ = 119978322199680.

The previous prime is 132099999999931. The next prime is 132100000000037. The reversal of 132100000000001 is 100000000001231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-132100000000001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132099999999898 and 132099999999907.

It is not an unprimeable number, because it can be changed into a prime (132100000000901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554347460 + ... + 554585706.

It is an arithmetic number, because the mean of its divisors is an integer number (9015262626600).

Almost surely, 2^{132100000000001} is an apocalyptic number.

132100000000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132100000000001 is a deficient number, since it is larger than the sum of its proper divisors (12144202025599).

132100000000001 is a wasteful number, since it uses less digits than its factorization.

132100000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285304.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 132100000000001 its reverse (100000000001231), we get a palindrome (232100000001232).

The spelling of 132100000000001 in words is "one hundred thirty-two trillion, one hundred billion, one", and thus it is an aban number.