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131221122133 is a prime number
BaseRepresentation
bin111101000110101100…
…0110110110001010101
3110112201000200200021111
41322031120312301111
54122220101402013
6140140540015021
712323532064123
oct1721530666125
9415630620244
10131221122133
11507179a2282
1221521831471
13c4b2b830ca
1464cb736913
15363017273d
hex1e8d636c55

131221122133 has 2 divisors, whose sum is σ = 131221122134. Its totient is φ = 131221122132.

The previous prime is 131221122127. The next prime is 131221122139. The reversal of 131221122133 is 331221122131.

It is a balanced prime because it is at equal distance from previous prime (131221122127) and next prime (131221122139).

It can be written as a sum of positive squares in only one way, i.e., 82655100004 + 48566022129 = 287498^2 + 220377^2 .

It is a cyclic number.

It is not a de Polignac number, because 131221122133 - 29 = 131221121621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131221122139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65610561066 + 65610561067.

It is an arithmetic number, because the mean of its divisors is an integer number (65610561067).

Almost surely, 2131221122133 is an apocalyptic number.

It is an amenable number.

131221122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131221122133 is an equidigital number, since it uses as much as digits as its factorization.

131221122133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 22.

Adding to 131221122133 its reverse (331221122131), we get a palindrome (462442244264).

The spelling of 131221122133 in words is "one hundred thirty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-three".