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130101112213 is a prime number
BaseRepresentation
bin111100100101010100…
…0010110110110010101
3110102210222012021111121
41321022220112312111
54112421341042323
6135433450203541
712254012131102
oct1711250266625
9412728167447
10130101112213
11501a2760246
122126a7235b1
13c364b17647
146422aa9aa9
1535b6b87a5d
hex1e4aa16d95

130101112213 has 2 divisors, whose sum is σ = 130101112214. Its totient is φ = 130101112212.

The previous prime is 130101112181. The next prime is 130101112247. The reversal of 130101112213 is 312211101031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126140046244 + 3961065969 = 355162^2 + 62937^2 .

It is a cyclic number.

It is not a de Polignac number, because 130101112213 - 25 = 130101112181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130101112283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65050556106 + 65050556107.

It is an arithmetic number, because the mean of its divisors is an integer number (65050556107).

Almost surely, 2130101112213 is an apocalyptic number.

It is an amenable number.

130101112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

130101112213 is an equidigital number, since it uses as much as digits as its factorization.

130101112213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 130101112213 its reverse (312211101031), we get a palindrome (442312213244).

The spelling of 130101112213 in words is "one hundred thirty billion, one hundred one million, one hundred twelve thousand, two hundred thirteen".