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131113101301 = 71310913218379
BaseRepresentation
bin111101000011011110…
…0110010011111110101
3110112102111102122112221
41322012330302133311
54122004423220201
6140122120442341
712321050654440
oct1720674623765
9415374378487
10131113101301
1150671a22666
12214b16193b1
13c496691860
1464bb258657
1536259364a1
hex1e86f327f5

131113101301 has 16 divisors (see below), whose sum is σ = 162850441600. Its totient is φ = 102786107328.

The previous prime is 131113101289. The next prime is 131113101337. The reversal of 131113101301 is 103101311131.

It is a cyclic number.

It is not a de Polignac number, because 131113101301 - 25 = 131113101269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131113105301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6599271 + ... + 6619108.

It is an arithmetic number, because the mean of its divisors is an integer number (10178152600).

Almost surely, 2131113101301 is an apocalyptic number.

It is an amenable number.

131113101301 is a deficient number, since it is larger than the sum of its proper divisors (31737340299).

131113101301 is a wasteful number, since it uses less digits than its factorization.

131113101301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13218508.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 131113101301 its reverse (103101311131), we get a palindrome (234214412432).

The spelling of 131113101301 in words is "one hundred thirty-one billion, one hundred thirteen million, one hundred one thousand, three hundred one".

Divisors: 1 7 13 91 109 763 1417 9919 13218379 92528653 171838927 1202872489 1440803311 10085623177 18730443043 131113101301