212001100013 has 8 divisors (see below), whose sum is σ = 221557327488. Its totient is φ = 202473104944.

The previous prime is 212001099979. The next prime is 212001100019. The reversal of 212001100013 is 310001100212.

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 212001100013 - 2⁸ = 212001099757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212001099967 and 212001100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001100019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7042745 + ... + 7072782.

It is an arithmetic number, because the mean of its divisors is an integer number (27694665936).

Almost surely, 2^212001100013 is an apocalyptic number.

212001100013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212001100013 is a deficient number, since it is larger than the sum of its proper divisors (9556227475).

212001100013 is a wasteful number, since it uses less digits than its factorization.

212001100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116203.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 212001100013 its reverse (310001100212), we get a palindrome (522002200225).

The spelling of 212001100013 in words is "two hundred twelve billion, one million, one hundred thousand, thirteen".