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13132110032137 is a prime number
BaseRepresentation
bin1011111100011000111011…
…0000001110110100001001
31201111102021022211111211201
42333012032300032310021
53210124030132012022
643532450313024201
72523522633345055
oct277061660166411
951442238744751
1013132110032137
11420332983a238
1215811110b5061
13743477a51175
1433585182cc65
1517b8e2895127
hexbf18ec0ed09

13132110032137 has 2 divisors, whose sum is σ = 13132110032138. Its totient is φ = 13132110032136.

The previous prime is 13132110032077. The next prime is 13132110032141. The reversal of 13132110032137 is 73123001123131.

13132110032137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11426319920656 + 1705790111481 = 3380284^2 + 1306059^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132110032137 - 239 = 12582354218249 is a prime.

It is not a weakly prime, because it can be changed into another prime (13132150032137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566055016068 + 6566055016069.

It is an arithmetic number, because the mean of its divisors is an integer number (6566055016069).

Almost surely, 213132110032137 is an apocalyptic number.

It is an amenable number.

13132110032137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132110032137 is an equidigital number, since it uses as much as digits as its factorization.

13132110032137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 13132110032137 its reverse (73123001123131), we get a palindrome (86255111155268).

The spelling of 13132110032137 in words is "thirteen trillion, one hundred thirty-two billion, one hundred ten million, thirty-two thousand, one hundred thirty-seven".