32123113101001 has 64 divisors (see below), whose sum is σ = 37245083774976. Its totient is φ = 27489466368000.

The previous prime is 32123113100993. The next prime is 32123113101011. The reversal of 32123113101001 is 10010131132123.

It is not a de Polignac number, because 32123113101001 - 2³ = 32123113100993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32123113101001.

It is not an unprimeable number, because it can be changed into a prime (32123113101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254363265 + ... + 254489521.

It is an arithmetic number, because the mean of its divisors is an integer number (581954433984).

Almost surely, 2^{32123113101001} is an apocalyptic number.

32123113101001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

32123113101001 is a deficient number, since it is larger than the sum of its proper divisors (5121970673975).

32123113101001 is a wasteful number, since it uses less digits than its factorization.

32123113101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126602.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 32123113101001 its reverse (10010131132123), we get a palindrome (42133244233124).

The spelling of 32123113101001 in words is "thirty-two trillion, one hundred twenty-three billion, one hundred thirteen million, one hundred one thousand, one".