Search a number
-
+
13131040301301 = 3131946138439701
BaseRepresentation
bin1011111100010100111011…
…1111100010000011110101
31201111022111202221120000010
42333011032333202003311
53210114332304120201
643532152221010433
72523454263651216
oct277051677420365
951438452846003
1013131040301301
11420292aa1966a
121580a729b3a19
1374333723ab40
1433578d72d40d
1517b87d9dcbd6
hexbf14efe20f5

13131040301301 has 32 divisors (see below), whose sum is σ = 19890239402880. Its totient is φ = 7638737184000.

The previous prime is 13131040301287. The next prime is 13131040301303. The reversal of 13131040301301 is 10310304013131.

It is not a de Polignac number, because 13131040301301 - 26 = 13131040301237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131040301303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18878250 + ... + 19561451.

It is an arithmetic number, because the mean of its divisors is an integer number (621569981340).

Almost surely, 213131040301301 is an apocalyptic number.

It is an amenable number.

13131040301301 is a deficient number, since it is larger than the sum of its proper divisors (6759199101579).

13131040301301 is a wasteful number, since it uses less digits than its factorization.

13131040301301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38440197.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13131040301301 its reverse (10310304013131), we get a palindrome (23441344314432).

The spelling of 13131040301301 in words is "thirteen trillion, one hundred thirty-one billion, forty million, three hundred one thousand, three hundred one".

Divisors: 1 3 13 19 39 57 247 461 741 1383 5993 8759 17979 26277 113867 341601 38439701 115319103 499716113 730354319 1499148339 2191062957 9494606147 17720702161 28483818441 53162106483 230369128093 336693341059 691107384279 1010080023177 4377013433767 13131040301301