213133210101 has 72 divisors (see below), whose sum is σ = 382870597824. Its totient is φ = 113512976640.

The previous prime is 213133210099. The next prime is 213133210117. The reversal of 213133210101 is 101012331312.

213133210101 is a `hidden beast` number, since 21 + 313 + 321 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 213133210101 - 2¹ = 213133210099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213133210141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 634186 + ... + 910196.

It is an arithmetic number, because the mean of its divisors is an integer number (5317647192).

Almost surely, 2^213133210101 is an apocalyptic number.

213133210101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213133210101 is a deficient number, since it is larger than the sum of its proper divisors (169737387723).

213133210101 is a wasteful number, since it uses less digits than its factorization.

213133210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276151 (or 276141 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213133210101 its reverse (101012331312), we get a palindrome (314145541413).

The spelling of 213133210101 in words is "two hundred thirteen billion, one hundred thirty-three million, two hundred ten thousand, one hundred one".