1032132101 has 64 divisors (see below), whose sum is σ = 1481711616. Its totient is φ = 691891200.

The previous prime is 1032132097. The next prime is 1032132161. The reversal of 1032132101 is 1012312301.

It is not a de Polignac number, because 1032132101 - 2² = 1032132097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032132161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2228996 + ... + 2229458.

It is an arithmetic number, because the mean of its divisors is an integer number (23151744).

Almost surely, 2^1032132101 is an apocalyptic number.

1032132101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1032132101 is a deficient number, since it is larger than the sum of its proper divisors (449579515).

1032132101 is a wasteful number, since it uses less digits than its factorization.

1032132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1032132101 is about 32126.8128048831. The cubic root of 1032132101 is about 1010.5979862418.

Adding to 1032132101 its reverse (1012312301), we get a palindrome (2044444402).

The spelling of 1032132101 in words is "one billion, thirty-two million, one hundred thirty-two thousand, one hundred one".