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131122213813 is a prime number
BaseRepresentation
bin111101000011101111…
…1100011001110110101
3110112110010120121120101
41322013133203032311
54122014241320223
6140123044034101
712321221266513
oct1720737431665
9415403517511
10131122213813
1150677086a68
12214b4692931
13c498532486
1464bc54b4b3
1536266364ad
hex1e877e33b5

131122213813 has 2 divisors, whose sum is σ = 131122213814. Its totient is φ = 131122213812.

The previous prime is 131122213799. The next prime is 131122213853. The reversal of 131122213813 is 318312221131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120209904369 + 10912309444 = 346713^2 + 104462^2 .

It is a cyclic number.

It is not a de Polignac number, because 131122213813 - 225 = 131088659381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131122213853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65561106906 + 65561106907.

It is an arithmetic number, because the mean of its divisors is an integer number (65561106907).

Almost surely, 2131122213813 is an apocalyptic number.

It is an amenable number.

131122213813 is a deficient number, since it is larger than the sum of its proper divisors (1).

131122213813 is an equidigital number, since it uses as much as digits as its factorization.

131122213813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

Adding to 131122213813 its reverse (318312221131), we get a palindrome (449434434944).

The spelling of 131122213813 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred thirteen thousand, eight hundred thirteen".