132100033 has 12 divisors (see below), whose sum is σ = 146095488. Its totient is φ = 119336880.

The previous prime is 132100019. The next prime is 132100037. The reversal of 132100033 is 330001231.

It is not a de Polignac number, because 132100033 - 2²¹ = 130002881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132099986 and 132100022.

It is not an unprimeable number, because it can be changed into a prime (132100037) 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 11 ways as a sum of consecutive naturals, for example, 373 + ... + 16258.

It is an arithmetic number, because the mean of its divisors is an integer number (12174624).

Almost surely, 2^132100033 is an apocalyptic number.

132100033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132100033 is a deficient number, since it is larger than the sum of its proper divisors (13995455).

132100033 is a wasteful number, since it uses less digits than its factorization.

132100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16704 (or 16691 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 132100033 is about 11493.4778461526. The cubic root of 132100033 is about 509.2929237724.

Adding to 132100033 its reverse (330001231), we get a palindrome (462101264).

The spelling of 132100033 in words is "one hundred thirty-two million, one hundred thousand, thirty-three".