Search a number
-
+
13133111103013 = 114436134396537
BaseRepresentation
bin1011111100011100101001…
…1011000000111000100101
31201111111212002112011220211
42333013022123000320211
53210133102420244023
643533133513255421
72523556510326046
oct277071233007045
951444762464824
1013133111103013
1142037a2924640
121581350404571
137435a72748b5
143359087788cd
1517b9506d8a0d
hexbf1ca6c0e25

13133111103013 has 16 divisors (see below), whose sum is σ = 14382799240896. Its totient is φ = 11892805741440.

The previous prime is 13133111102981. The next prime is 13133111103031. The reversal of 13133111103013 is 31030111133131.

13133111103013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13133111103013 - 25 = 13133111102981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133111103083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788881 + ... + 5185417.

It is an arithmetic number, because the mean of its divisors is an integer number (898924952556).

Almost surely, 213133111103013 is an apocalyptic number.

It is an amenable number.

13133111103013 is a deficient number, since it is larger than the sum of its proper divisors (1249688137883).

13133111103013 is a wasteful number, since it uses less digits than its factorization.

13133111103013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397604.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 13133111103013 its reverse (31030111133131), we get a palindrome (44163222236144).

The spelling of 13133111103013 in words is "thirteen trillion, one hundred thirty-three billion, one hundred eleven million, one hundred three thousand, thirteen".

Divisors: 1 11 443 613 4873 6743 271559 2987149 4396537 48361907 1947665891 2695077181 21424324801 29645848991 1193919191183 13133111103013