10220213100213 has 40 divisors (see below), whose sum is σ = 15479115575000. Its totient is φ = 6718948849152.

The previous prime is 10220213100203. The next prime is 10220213100257. The reversal of 10220213100213 is 31200131202201.

10220213100213 is a `hidden beast` number, since 10 + 220 + 213 + 10 + 0 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15465907044 + 10204747193169 = 124362^2 + 3194487^2 .

It is not a de Polignac number, because 10220213100213 - 2¹⁶ = 10220213034677 is a prime.

It is a super-3 number, since 3×10220213100213³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220213100203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33843513 + ... + 34144161.

It is an arithmetic number, because the mean of its divisors is an integer number (386977889375).

Almost surely, 2^{10220213100213} is an apocalyptic number.

It is an amenable number.

10220213100213 is a deficient number, since it is larger than the sum of its proper divisors (5258902474787).

10220213100213 is an equidigital number, since it uses as much as digits as its factorization.

10220213100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306483 (or 306474 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10220213100213 its reverse (31200131202201), we get a palindrome (41420344302414).

The spelling of 10220213100213 in words is "ten trillion, two hundred twenty billion, two hundred thirteen million, one hundred thousand, two hundred thirteen".