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213220231002013 is a prime number
BaseRepresentation
bin110000011110110000110100…
…001000001011011110011101
31000221221122200111121122210011
4300132300310020023132131
5210421400013114031023
62033252004420443221
762624440043605324
oct6036606410133635
91027848614548704
10213220231002013
1161a36212840514
121bab7613b49511
1391c8773761471
143a91cb29850bb
15199b532d4650d
hexc1ec3420b79d

213220231002013 has 2 divisors, whose sum is σ = 213220231002014. Its totient is φ = 213220231002012.

The previous prime is 213220231001957. The next prime is 213220231002041. The reversal of 213220231002013 is 310200132022312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212738181289209 + 482049712804 = 14585547^2 + 694298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213220231002013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213220231002413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106610115501006 + 106610115501007.

It is an arithmetic number, because the mean of its divisors is an integer number (106610115501007).

Almost surely, 2213220231002013 is an apocalyptic number.

It is an amenable number.

213220231002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213220231002013 is an equidigital number, since it uses as much as digits as its factorization.

213220231002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213220231002013 its reverse (310200132022312), we get a palindrome (523420363024325).

The spelling of 213220231002013 in words is "two hundred thirteen trillion, two hundred twenty billion, two hundred thirty-one million, two thousand, thirteen".