Search a number
-
+
13133030081 is a prime number
BaseRepresentation
bin11000011101100101…
…00010001011000001
31020220021010001102112
430032302202023001
5203344023430311
610011102225105
7643306625303
oct141662421301
936807101375
1013133030081
11562a286976
122666285195
131313b0b722
148c82b7973
1551ce7d28b
hex30eca22c1

13133030081 has 2 divisors, whose sum is σ = 13133030082. Its totient is φ = 13133030080.

The previous prime is 13133030069. The next prime is 13133030143. The reversal of 13133030081 is 18003033131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11020800400 + 2112229681 = 104980^2 + 45959^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133030081 - 214 = 13133013697 is a prime.

It is a super-2 number, since 2×131330300812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13133030381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566515040 + 6566515041.

It is an arithmetic number, because the mean of its divisors is an integer number (6566515041).

Almost surely, 213133030081 is an apocalyptic number.

It is an amenable number.

13133030081 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133030081 is an equidigital number, since it uses as much as digits as its factorization.

13133030081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 13133030081 in words is "thirteen billion, one hundred thirty-three million, thirty thousand, eighty-one".