212112000020013 has 32 divisors (see below), whose sum is σ = 289221127977600. Its totient is φ = 138232416902400.

The previous prime is 212112000020009. The next prime is 212112000020033. The reversal of 212112000020013 is 310020000211212.

212112000020013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212112000020013 - 2² = 212112000020009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212112000019974 and 212112000020001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112000020033) 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, 419720503 + ... + 420225563.

It is an arithmetic number, because the mean of its divisors is an integer number (9038160249300).

Almost surely, 2^{212112000020013} is an apocalyptic number.

It is an amenable number.

212112000020013 is a deficient number, since it is larger than the sum of its proper divisors (77109127957587).

212112000020013 is a wasteful number, since it uses less digits than its factorization.

212112000020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518413.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212112000020013 its reverse (310020000211212), we get a palindrome (522132000231225).

The spelling of 212112000020013 in words is "two hundred twelve trillion, one hundred twelve billion, twenty thousand, thirteen".