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12102012013213 is a prime number
BaseRepresentation
bin1011000000011011100000…
…1000001000101010011101
31120211221102000200022022001
42300012320020020222131
53041234410033410323
641423330525322301
72356225065555523
oct260067010105235
946757360608261
1012102012013213
113946486312241
12143554b406391
1369a2a3cc1695
142dba51d44313
1515ec03ae23ad
hexb01b8208a9d

12102012013213 has 2 divisors, whose sum is σ = 12102012013214. Its totient is φ = 12102012013212.

The previous prime is 12102012013181. The next prime is 12102012013229. The reversal of 12102012013213 is 31231021020121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12025373288644 + 76638724569 = 3467762^2 + 276837^2 .

It is a cyclic number.

It is not a de Polignac number, because 12102012013213 - 25 = 12102012013181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12102012013253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051006006606 + 6051006006607.

It is an arithmetic number, because the mean of its divisors is an integer number (6051006006607).

Almost surely, 212102012013213 is an apocalyptic number.

It is an amenable number.

12102012013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102012013213 is an equidigital number, since it uses as much as digits as its factorization.

12102012013213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12102012013213 its reverse (31231021020121), we get a palindrome (43333033033334).

The spelling of 12102012013213 in words is "twelve trillion, one hundred two billion, twelve million, thirteen thousand, two hundred thirteen".