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121211322013 is a prime number
BaseRepresentation
bin111000011100011000…
…0011111111010011101
3102120212102111010220201
41300320300133322131
53441220044301023
6131403403143501
711520505144315
oct1607060377235
9376772433821
10121211322013
11474506a42a1
121b5a9514b91
13b579144062
145c1c182445
1532464cabad
hex1c38c1fe9d

121211322013 has 2 divisors, whose sum is σ = 121211322014. Its totient is φ = 121211322012.

The previous prime is 121211321983. The next prime is 121211322031. The reversal of 121211322013 is 310223112121.

Together with next prime (121211322031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78021338329 + 43189983684 = 279323^2 + 207822^2 .

It is a cyclic number.

It is not a de Polignac number, because 121211322013 - 25 = 121211321981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121211322313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60605661006 + 60605661007.

It is an arithmetic number, because the mean of its divisors is an integer number (60605661007).

Almost surely, 2121211322013 is an apocalyptic number.

It is an amenable number.

121211322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121211322013 is an equidigital number, since it uses as much as digits as its factorization.

121211322013 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 121211322013 its reverse (310223112121), we get a palindrome (431434434134).

It can be divided in two parts, 1212 and 11322013, that added together give a square (11323225 = 33652).

The spelling of 121211322013 in words is "one hundred twenty-one billion, two hundred eleven million, three hundred twenty-two thousand, thirteen".