214133132241 has 48 divisors (see below), whose sum is σ = 356924430720. Its totient is φ = 121174030080.

The previous prime is 214133132231. The next prime is 214133132293. The reversal of 214133132241 is 142231331412.

214133132241 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 331 + 322 + 4 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-214133132241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214133132221) 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, 14626261 + ... + 14640893.

It is an arithmetic number, because the mean of its divisors is an integer number (7435925640).

Almost surely, 2^214133132241 is an apocalyptic number.

214133132241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214133132241 is a deficient number, since it is larger than the sum of its proper divisors (142791298479).

214133132241 is a wasteful number, since it uses less digits than its factorization.

214133132241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16886 (or 16883 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 214133132241 its reverse (142231331412), we get a palindrome (356364463653).

The spelling of 214133132241 in words is "two hundred fourteen billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred forty-one".