Search a number
-
+
13131301103101 = 174167281190199
BaseRepresentation
bin1011111100010101111010…
…0010011010010111111101
31201111100011221200122211001
42333011132202122113331
53210120401040244401
643532234134530301
72523463611512266
oct277053642322775
951440157618731
1013131301103101
114202a5415a945
121580b26206991
1374337929302c
143357b621b96d
1517b896857601
hexbf15e89a5fd

13131301103101 has 16 divisors (see below), whose sum is σ = 14455425801600. Its totient is φ = 11877473963520.

The previous prime is 13131301103059. The next prime is 13131301103149. The reversal of 13131301103101 is 10130110313131.

It is a cyclic number.

It is not a de Polignac number, because 13131301103101 - 27 = 13131301102973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131301103171) 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, 140548401 + ... + 140641798.

It is an arithmetic number, because the mean of its divisors is an integer number (903464112600).

Almost surely, 213131301103101 is an apocalyptic number.

It is an amenable number.

13131301103101 is a deficient number, since it is larger than the sum of its proper divisors (1324124698499).

13131301103101 is a wasteful number, since it uses less digits than its factorization.

13131301103101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281190324.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 13131301103101 its reverse (10130110313131), we get a palindrome (23261411416232).

The spelling of 13131301103101 in words is "thirteen trillion, one hundred thirty-one billion, three hundred one million, one hundred three thousand, one hundred one".

Divisors: 1 17 41 67 697 1139 2747 46699 281190199 4780233383 11528798159 18839743333 195989568703 320275636661 772429476653 13131301103101