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122131010213 is a prime number
BaseRepresentation
bin111000110111110010…
…0110101001010100101
3102200020112001010221122
41301233210311022211
54000111014311323
6132034535223325
711552343313112
oct1615744651245
9380215033848
10122131010213
1147882853693
121b805517b45
13b694841c64
145ca8385909
15329c0e5ec8
hex1c6f9352a5

122131010213 has 2 divisors, whose sum is σ = 122131010214. Its totient is φ = 122131010212.

The previous prime is 122131010171. The next prime is 122131010269. The reversal of 122131010213 is 312010131221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99835145089 + 22295865124 = 315967^2 + 149318^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131010213 - 212 = 122131006117 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122131010191 and 122131010200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122131010293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065505106 + 61065505107.

It is an arithmetic number, because the mean of its divisors is an integer number (61065505107).

Almost surely, 2122131010213 is an apocalyptic number.

It is an amenable number.

122131010213 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131010213 is an equidigital number, since it uses as much as digits as its factorization.

122131010213 is an evil number, because the sum of its binary digits is even.

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

Adding to 122131010213 its reverse (312010131221), we get a palindrome (434141141434).

The spelling of 122131010213 in words is "one hundred twenty-two billion, one hundred thirty-one million, ten thousand, two hundred thirteen".