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13001013133 is a prime number
BaseRepresentation
bin11000001101110101…
…11011011110001101
31020120001200220012221
430012322323132031
5203111224410013
65550024455341
7640114534243
oct140672733615
936501626187
1013001013133
115571807659
12262a01a551
1312c2667ba4
148b4950793
155115a208d
hex306ebb78d

13001013133 has 2 divisors, whose sum is σ = 13001013134. Its totient is φ = 13001013132.

The previous prime is 13001013127. The next prime is 13001013161. The reversal of 13001013133 is 33131010031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12882704004 + 118309129 = 113502^2 + 10877^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001013133 - 25 = 13001013101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13001013433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500506566 + 6500506567.

It is an arithmetic number, because the mean of its divisors is an integer number (6500506567).

Almost surely, 213001013133 is an apocalyptic number.

It is an amenable number.

13001013133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001013133 is an equidigital number, since it uses as much as digits as its factorization.

13001013133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13001013133 its reverse (33131010031), we get a palindrome (46132023164).

The spelling of 13001013133 in words is "thirteen billion, one million, thirteen thousand, one hundred thirty-three".