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213312133103 is a prime number
BaseRepresentation
bin1100011010101001100…
…1001101011111101111
3202101121002102010002012
43012222121031133233
511443330401224403
6241554431151435
721261034133456
oct3065231153757
9671532363065
10213312133103
11825131578a3
123541197557b
1317166279404
14a47809bb9d
155836eceed8
hex31aa64d7ef

213312133103 has 2 divisors, whose sum is σ = 213312133104. Its totient is φ = 213312133102.

The previous prime is 213312133051. The next prime is 213312133159. The reversal of 213312133103 is 301331213312.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 213312133103 - 220 = 213311084527 is a prime.

It is a super-2 number, since 2×2133121331032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213312133003) 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, 106656066551 + 106656066552.

It is an arithmetic number, because the mean of its divisors is an integer number (106656066552).

Almost surely, 2213312133103 is an apocalyptic number.

213312133103 is a deficient number, since it is larger than the sum of its proper divisors (1).

213312133103 is an equidigital number, since it uses as much as digits as its factorization.

213312133103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 213312133103 its reverse (301331213312), we get a palindrome (514643346415).

The spelling of 213312133103 in words is "two hundred thirteen billion, three hundred twelve million, one hundred thirty-three thousand, one hundred three".