Search a number
-
+
13133011001 = 112108537281
BaseRepresentation
bin11000011101100100…
…11101100000111001
31020220021002002020212
430032302131200321
5203344022323001
610011102000505
7643306515545
oct141662354071
936807062225
1013133011001
11562a273600
122666276135
131313b02b36
148c82b0a25
1551ce777bb
hex30ec9d839

13133011001 has 6 divisors (see below), whose sum is σ = 14435458506. Its totient is φ = 11939100800.

The previous prime is 13133010967. The next prime is 13133011007. The reversal of 13133011001 is 10011033131.

It is a happy number.

13133011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11599505401 + 1533505600 = 107701^2 + 39160^2 .

It is not a de Polignac number, because 13133011001 - 222 = 13128816697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13133011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54268520 + ... + 54268761.

It is an arithmetic number, because the mean of its divisors is an integer number (2405909751).

Almost surely, 213133011001 is an apocalyptic number.

13133011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13133011001 is a deficient number, since it is larger than the sum of its proper divisors (1302447505).

13133011001 is a wasteful number, since it uses less digits than its factorization.

13133011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108537303 (or 108537292 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13133011001 its reverse (10011033131), we get a palindrome (23144044132).

The spelling of 13133011001 in words is "thirteen billion, one hundred thirty-three million, eleven thousand, one".

Divisors: 1 11 121 108537281 1193910091 13133011001