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120132010013 is a prime number
BaseRepresentation
bin110111111100001101…
…1010000000000011101
3102111002012120102012012
41233320123100000131
53432012243310023
6131104325521005
711451661144151
oct1577033200035
9374065512165
10120132010013
1146a4742a204
121b347b73165
13b4366579c2
145b58aab061
1531d187e978
hex1bf86d001d

120132010013 has 2 divisors, whose sum is σ = 120132010014. Its totient is φ = 120132010012.

The previous prime is 120132010007. The next prime is 120132010021. The reversal of 120132010013 is 310010231021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117801341284 + 2330668729 = 343222^2 + 48277^2 .

It is a cyclic number.

It is not a de Polignac number, because 120132010013 - 214 = 120131993629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120132010013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120132010003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60066005006 + 60066005007.

It is an arithmetic number, because the mean of its divisors is an integer number (60066005007).

Almost surely, 2120132010013 is an apocalyptic number.

It is an amenable number.

120132010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

120132010013 is an equidigital number, since it uses as much as digits as its factorization.

120132010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120132010013 its reverse (310010231021), we get a palindrome (430142241034).

The spelling of 120132010013 in words is "one hundred twenty billion, one hundred thirty-two million, ten thousand, thirteen".