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121312332013 is a prime number
BaseRepresentation
bin111000011111011000…
…1110100100011101101
3102121010110112222120211
41300332301310203231
53441421424111023
6131421412142421
711523142544155
oct1607661644355
9377113488524
10121312332013
11474a2715634
121b617307a11
13b59404c4a2
145c2b757765
1532502cea0d
hex1c3ec748ed

121312332013 has 2 divisors, whose sum is σ = 121312332014. Its totient is φ = 121312332012.

The previous prime is 121312331971. The next prime is 121312332019. The reversal of 121312332013 is 310233213121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121283634564 + 28697449 = 348258^2 + 5357^2 .

It is a cyclic number.

It is not a de Polignac number, because 121312332013 - 29 = 121312331501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121312332019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60656166006 + 60656166007.

It is an arithmetic number, because the mean of its divisors is an integer number (60656166007).

Almost surely, 2121312332013 is an apocalyptic number.

It is an amenable number.

121312332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121312332013 is an equidigital number, since it uses as much as digits as its factorization.

121312332013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 121312332013 its reverse (310233213121), we get a palindrome (431545545134).

The spelling of 121312332013 in words is "one hundred twenty-one billion, three hundred twelve million, three hundred thirty-two thousand, thirteen".