212002100013 has 32 divisors (see below), whose sum is σ = 315304980480. Its totient is φ = 125601719360.

The previous prime is 212002100003. The next prime is 212002100017. The reversal of 212002100013 is 310001200212.

It is a cyclic number.

It is not a de Polignac number, because 212002100013 - 2²⁴ = 211985322797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002100017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219831 + ... + 1382747.

It is an arithmetic number, because the mean of its divisors is an integer number (9853280640).

Almost surely, 2^212002100013 is an apocalyptic number.

It is an amenable number.

212002100013 is a deficient number, since it is larger than the sum of its proper divisors (103302880467).

212002100013 is a wasteful number, since it uses less digits than its factorization.

212002100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163817.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212002100013 its reverse (310001200212), we get a palindrome (522003300225).

The spelling of 212002100013 in words is "two hundred twelve billion, two million, one hundred thousand, thirteen".