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131101131413041 = 187190511774161
BaseRepresentation
bin11101110011110001011100…
…010111100001011000110001
3122012012010221021000210102021
4131303301130113201120301
5114140430104120204131
61142455010041351441
736420513152244346
oct3563613427413061
9565163837023367
10131101131413041
113885574a979619
121285433b798581
13581ca2588c31a
142453485a207cd
151025394537e11
hex773c5c5e1631

131101131413041 has 8 divisors (see below), whose sum is σ = 131172820167168. Its totient is φ = 131029444392000.

The previous prime is 131101131413017. The next prime is 131101131413089. The reversal of 131101131413041 is 140314131101131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131101131413041 - 221 = 131101129315889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131101131412997 and 131101131413015.

It is not an unprimeable number, because it can be changed into a prime (131101131413641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168959001 + ... + 169733161.

It is an arithmetic number, because the mean of its divisors is an integer number (16396602520896).

Almost surely, 2131101131413041 is an apocalyptic number.

It is an amenable number.

131101131413041 is a deficient number, since it is larger than the sum of its proper divisors (71688754127).

131101131413041 is an equidigital number, since it uses as much as digits as its factorization.

131101131413041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866543.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 131101131413041 its reverse (140314131101131), we get a palindrome (271415262514172).

The spelling of 131101131413041 in words is "one hundred thirty-one trillion, one hundred one billion, one hundred thirty-one million, four hundred thirteen thousand, forty-one".

Divisors: 1 1871 90511 774161 169346081 1448455231 70070086271 131101131413041