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2100310003213 is a prime number
BaseRepresentation
bin11110100100000100001…
…110110100111000001101
321102210021012210222200021
4132210010032310320031
5233402413330100323
64244511420302141
7304512432315022
oct36440416647015
97383235728607
102100310003213
1173a811272994
1229b0796a1951
1312309b364a66
1473926b69549
153997955005d
hex1e9043b4e0d

2100310003213 has 2 divisors, whose sum is σ = 2100310003214. Its totient is φ = 2100310003212.

The previous prime is 2100310003189. The next prime is 2100310003237. The reversal of 2100310003213 is 3123000130012.

It is a balanced prime because it is at equal distance from previous prime (2100310003189) and next prime (2100310003237).

It can be written as a sum of positive squares in only one way, i.e., 1977699378249 + 122610624964 = 1406307^2 + 350158^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2100310003213 is a prime.

It is a super-2 number, since 2×21003100032132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100310003243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050155001606 + 1050155001607.

It is an arithmetic number, because the mean of its divisors is an integer number (1050155001607).

Almost surely, 22100310003213 is an apocalyptic number.

It is an amenable number.

2100310003213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100310003213 is an equidigital number, since it uses as much as digits as its factorization.

2100310003213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2100310003213 its reverse (3123000130012), we get a palindrome (5223310133225).

The spelling of 2100310003213 in words is "two trillion, one hundred billion, three hundred ten million, three thousand, two hundred thirteen".