32132100123123 has 64 divisors (see below), whose sum is σ = 57528865723392. Its totient is φ = 15406482516480.

The previous prime is 32132100123077. The next prime is 32132100123133.

32132100123123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32132100123123 - 2¹² = 32132100119027 is a prime.

It is a super-2 number, since 2×32132100123123² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32132100123093 and 32132100123102.

It is not an unprimeable number, because it can be changed into a prime (32132100123133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30267961 + ... + 31311557.

It is an arithmetic number, because the mean of its divisors is an integer number (898888526928).

Almost surely, 2^{32132100123123} is an apocalyptic number.

32132100123123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32132100123123 is a deficient number, since it is larger than the sum of its proper divisors (25396765600269).

32132100123123 is a wasteful number, since it uses less digits than its factorization.

32132100123123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053884.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 32132100 and 123123, that added together give a palindrome (32255223).

The spelling of 32132100123123 in words is "thirty-two trillion, one hundred thirty-two billion, one hundred million, one hundred twenty-three thousand, one hundred twenty-three".