Search a number
-
+
131221121113 is a prime number
BaseRepresentation
bin111101000110101100…
…0110110100001011001
3110112201000200121212201
41322031120312201121
54122220101333423
6140140540010201
712323532061135
oct1721530664131
9415630617781
10131221121113
11507179a1535
1221521830961
13c4b2b827c4
1464cb7363c5
1536301722ad
hex1e8d636859

131221121113 has 2 divisors, whose sum is σ = 131221121114. Its totient is φ = 131221121112.

The previous prime is 131221120993. The next prime is 131221121117. The reversal of 131221121113 is 311121122131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80367714064 + 50853407049 = 283492^2 + 225507^2 .

It is a cyclic number.

It is not a de Polignac number, because 131221121113 - 217 = 131220990041 is a prime.

It is a super-2 number, since 2×1312211211132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131221121117) 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, 65610560556 + 65610560557.

It is an arithmetic number, because the mean of its divisors is an integer number (65610560557).

Almost surely, 2131221121113 is an apocalyptic number.

It is an amenable number.

131221121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

131221121113 is an equidigital number, since it uses as much as digits as its factorization.

131221121113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 19.

Adding to 131221121113 its reverse (311121122131), we get a palindrome (442342243244).

The spelling of 131221121113 in words is "one hundred thirty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred thirteen".