212132102013 has 128 divisors (see below), whose sum is σ = 352034242560. Its totient is φ = 125427294720.

The previous prime is 212132102003. The next prime is 212132102027. The reversal of 212132102013 is 310201231212.

It is not a de Polignac number, because 212132102013 - 2⁵ = 212132101981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212132102003) 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 127 ways as a sum of consecutive naturals, for example, 222593545 + ... + 222594497.

It is an arithmetic number, because the mean of its divisors is an integer number (2750267520).

Almost surely, 2^212132102013 is an apocalyptic number.

It is an amenable number.

212132102013 is a deficient number, since it is larger than the sum of its proper divisors (139902140547).

212132102013 is a wasteful number, since it uses less digits than its factorization.

212132102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212132102013 its reverse (310201231212), we get a palindrome (522333333225).

The spelling of 212132102013 in words is "two hundred twelve billion, one hundred thirty-two million, one hundred two thousand, thirteen".