213131123101 has 8 divisors (see below), whose sum is σ = 229708150560. Its totient is φ = 196580142192.

The previous prime is 213131123083. The next prime is 213131123119. The reversal of 213131123101 is 101321131312.

It is an interprime number because it is at equal distance from previous prime (213131123083) and next prime (213131123119).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213131123101 - 2⁵ = 213131123069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131126101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6494635 + ... + 6527368.

It is an arithmetic number, because the mean of its divisors is an integer number (28713518820).

Almost surely, 2^213131123101 is an apocalyptic number.

It is an amenable number.

213131123101 is a deficient number, since it is larger than the sum of its proper divisors (16577027459).

213131123101 is a wasteful number, since it uses less digits than its factorization.

213131123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13023275.

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

Adding to 213131123101 its reverse (101321131312), we get a palindrome (314452254413).

The spelling of 213131123101 in words is "two hundred thirteen billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred one".