32214132313101 has 48 divisors (see below), whose sum is σ = 46882169334000. Its totient is φ = 21314893049856.

The previous prime is 32214132313091. The next prime is 32214132313147. The reversal of 32214132313101 is 10131323141223.

32214132313101 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 413 + 231 + 3 + 10 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 948432515625 + 31265699797476 = 973875^2 + 5591574^2 .

It is a de Polignac number, because none of the positive numbers 2^k-32214132313101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32214132313301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2582703001 + ... + 2582715473.

It is an arithmetic number, because the mean of its divisors is an integer number (976711861125).

Almost surely, 2^{32214132313101} is an apocalyptic number.

It is an amenable number.

32214132313101 is a deficient number, since it is larger than the sum of its proper divisors (14668037020899).

32214132313101 is a wasteful number, since it uses less digits than its factorization.

32214132313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16590 (or 16587 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 32214132313101 its reverse (10131323141223), we get a palindrome (42345455454324).

The spelling of 32214132313101 in words is "thirty-two trillion, two hundred fourteen billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred one".