212002303330013 has 64 divisors (see below), whose sum is σ = 256580628480000. Its totient is φ = 171256459444224.

The previous prime is 212002303329871. The next prime is 212002303330019. The reversal of 212002303330013 is 310033303200212.

212002303330013 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 212002303330013 - 2⁸ = 212002303329757 is a prime.

It is a super-2 number, since 2×212002303330013² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002303330019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473404408 + ... + 1473548286.

It is an arithmetic number, because the mean of its divisors is an integer number (4009072320000).

Almost surely, 2^{212002303330013} is an apocalyptic number.

212002303330013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212002303330013 is a deficient number, since it is larger than the sum of its proper divisors (44578325149987).

212002303330013 is a wasteful number, since it uses less digits than its factorization.

212002303330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144554.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 212002303330013 its reverse (310033303200212), we get a palindrome (522035606530225).

The spelling of 212002303330013 in words is "two hundred twelve trillion, two billion, three hundred three million, three hundred thirty thousand, thirteen".