Search a number
-
+
133010131217 is a prime number
BaseRepresentation
bin111101111100000000…
…1011000100100010001
3110201022201000202101012
41323320001120210101
54134401043144332
6141034244420305
712416054314055
oct1737001304421
9421281022335
10133010131217
115145582a287
12219409a7695
13c7096c5572
14661b18bc65
1536d72593b2
hex1ef8058911

133010131217 has 2 divisors, whose sum is σ = 133010131218. Its totient is φ = 133010131216.

The previous prime is 133010131211. The next prime is 133010131223. The reversal of 133010131217 is 712131010331.

It is a balanced prime because it is at equal distance from previous prime (133010131211) and next prime (133010131223).

It can be written as a sum of positive squares in only one way, i.e., 130522515841 + 2487615376 = 361279^2 + 49876^2 .

It is a cyclic number.

It is not a de Polignac number, because 133010131217 - 212 = 133010127121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133010131192 and 133010131201.

It is not a weakly prime, because it can be changed into another prime (133010131211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66505065608 + 66505065609.

It is an arithmetic number, because the mean of its divisors is an integer number (66505065609).

Almost surely, 2133010131217 is an apocalyptic number.

It is an amenable number.

133010131217 is a deficient number, since it is larger than the sum of its proper divisors (1).

133010131217 is an equidigital number, since it uses as much as digits as its factorization.

133010131217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 133010131217 its reverse (712131010331), we get a palindrome (845141141548).

The spelling of 133010131217 in words is "one hundred thirty-three billion, ten million, one hundred thirty-one thousand, two hundred seventeen".