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122113021013 is a prime number
BaseRepresentation
bin111000110111010000…
…0001101010001010101
3102200012021012012101222
41301232200031101111
54000041413133023
6132033053500125
711552034360344
oct1615640152125
9380167165358
10122113021013
1147873687085
121b7bb4a1645
13b690bb3b69
145ca5c21b5b
15329a740cc8
hex1c6e80d455

122113021013 has 2 divisors, whose sum is σ = 122113021014. Its totient is φ = 122113021012.

The previous prime is 122113020973. The next prime is 122113021021. The reversal of 122113021013 is 310120311221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93842970244 + 28270050769 = 306338^2 + 168137^2 .

It is a cyclic number.

It is not a de Polignac number, because 122113021013 - 212 = 122113016917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122113020982 and 122113021000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122113021213) 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, 61056510506 + 61056510507.

It is an arithmetic number, because the mean of its divisors is an integer number (61056510507).

Almost surely, 2122113021013 is an apocalyptic number.

It is an amenable number.

122113021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113021013 is an equidigital number, since it uses as much as digits as its factorization.

122113021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122113021013 its reverse (310120311221), we get a palindrome (432233332234).

The spelling of 122113021013 in words is "one hundred twenty-two billion, one hundred thirteen million, twenty-one thousand, thirteen".