220120202000213 has 2 divisors, whose sum is σ = 220120202000214. Its totient is φ = 220120202000212.

The previous prime is 220120202000197. The next prime is 220120202000233. The reversal of 220120202000213 is 312000202021022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175751840522449 + 44368361477764 = 13257143^2 + 6660958^2 .

It is a cyclic number.

It is not a de Polignac number, because 220120202000213 - 2⁴ = 220120202000197 is a prime.

It is a super-2 number, since 2×220120202000213² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220120202000191 and 220120202000200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220120202000233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110060101000106 + 110060101000107.

It is an arithmetic number, because the mean of its divisors is an integer number (110060101000107).

Almost surely, 2^{220120202000213} is an apocalyptic number.

It is an amenable number.

220120202000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

220120202000213 is an equidigital number, since it uses as much as digits as its factorization.

220120202000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 220120202000213 its reverse (312000202021022), we get a palindrome (532120404021235).

The spelling of 220120202000213 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred two million, two hundred thirteen", and thus it is an aban number.