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113131231121 is a prime number
BaseRepresentation
bin110100101011100100…
…1011001011110010001
3101211000022100222222002
41221113021121132101
53323143043343441
6123545522523345
711113332412106
oct1512711313621
9354008328862
10113131231121
1143a846a3427
1219b13506555
13a88c13b39c
145692dcaaad
152e21e5eb9b
hex1a57259791

113131231121 has 2 divisors, whose sum is σ = 113131231122. Its totient is φ = 113131231120.

The previous prime is 113131231097. The next prime is 113131231133. The reversal of 113131231121 is 121132131311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106677358225 + 6453872896 = 326615^2 + 80336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113131231121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113131231093 and 113131231102.

It is not a weakly prime, because it can be changed into another prime (113131231141) 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, 56565615560 + 56565615561.

It is an arithmetic number, because the mean of its divisors is an integer number (56565615561).

Almost surely, 2113131231121 is an apocalyptic number.

It is an amenable number.

113131231121 is a deficient number, since it is larger than the sum of its proper divisors (1).

113131231121 is an equidigital number, since it uses as much as digits as its factorization.

113131231121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 20.

Adding to 113131231121 its reverse (121132131311), we get a palindrome (234263362432).

The spelling of 113131231121 in words is "one hundred thirteen billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty-one".