Search a number
-
+
131122213129 is a prime number
BaseRepresentation
bin111101000011101111…
…1100011000100001001
3110112110010120120122001
41322013133203010021
54122014241310004
6140123044031001
712321221264515
oct1720737430411
9415403516561
10131122213129
11506770864a6
12214b4692461
13c49853207b
1464bc54b145
1536266361a4
hex1e877e3109

131122213129 has 2 divisors, whose sum is σ = 131122213130. Its totient is φ = 131122213128.

The previous prime is 131122213127. The next prime is 131122213199. The reversal of 131122213129 is 921312221131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106848573129 + 24273640000 = 326877^2 + 155800^2 .

It is a cyclic number.

It is not a de Polignac number, because 131122213129 - 21 = 131122213127 is a prime.

Together with 131122213127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 131122213097 and 131122213106.

It is not a weakly prime, because it can be changed into another prime (131122213127) 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, 65561106564 + 65561106565.

It is an arithmetic number, because the mean of its divisors is an integer number (65561106565).

Almost surely, 2131122213129 is an apocalyptic number.

It is an amenable number.

131122213129 is a deficient number, since it is larger than the sum of its proper divisors (1).

131122213129 is an equidigital number, since it uses as much as digits as its factorization.

131122213129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 28.

The spelling of 131122213129 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred twenty-nine".