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131224131113 is a prime number
BaseRepresentation
bin111101000110110010…
…0010101011000101001
3110112201020100112211012
41322031210111120221
54122221334143423
6140141124313305
712323566465505
oct1721544253051
9415636315735
10131224131113
1150719667a39
1221522842835
13c4b369787a
1464cbcbb305
153630569078
hex1e8d915629

131224131113 has 2 divisors, whose sum is σ = 131224131114. Its totient is φ = 131224131112.

The previous prime is 131224131109. The next prime is 131224131133. The reversal of 131224131113 is 311131422131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126203983504 + 5020147609 = 355252^2 + 70853^2 .

It is a cyclic number.

It is not a de Polignac number, because 131224131113 - 22 = 131224131109 is a prime.

It is not a weakly prime, because it can be changed into another prime (131224131133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65612065556 + 65612065557.

It is an arithmetic number, because the mean of its divisors is an integer number (65612065557).

Almost surely, 2131224131113 is an apocalyptic number.

It is an amenable number.

131224131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

131224131113 is an equidigital number, since it uses as much as digits as its factorization.

131224131113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 23.

Adding to 131224131113 its reverse (311131422131), we get a palindrome (442355553244).

The spelling of 131224131113 in words is "one hundred thirty-one billion, two hundred twenty-four million, one hundred thirty-one thousand, one hundred thirteen".