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131131010012333 = 3110933870112151
BaseRepresentation
bin11101110100001101010001…
…010001010101010010101101
3122012022000001112212220022212
4131310031101101111102231
5114141422302030343313
61142520430535420205
736422621446166312
oct3564152121252255
9565260045786285
10131131010012333
1138867392634491
121285a099b24665
1358227a7a59a86
142454abbca6d09
1510260426813a8
hex7743514554ad

131131010012333 has 8 divisors (see below), whose sum is σ = 135484886217216. Its totient is φ = 126784874034000.

The previous prime is 131131010012263. The next prime is 131131010012441. The reversal of 131131010012333 is 333210010131131.

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 131131010012333 - 212 = 131131010008237 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131131010012299 and 131131010012308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131010012033) 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 7 ways as a sum of consecutive naturals, for example, 1935022193 + ... + 1935089958.

It is an arithmetic number, because the mean of its divisors is an integer number (16935610777152).

Almost surely, 2131131010012333 is an apocalyptic number.

It is an amenable number.

131131010012333 is a deficient number, since it is larger than the sum of its proper divisors (4353876204883).

131131010012333 is a wasteful number, since it uses less digits than its factorization.

131131010012333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870113275.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 131131010012333 its reverse (333210010131131), we get a palindrome (464341020143464).

The spelling of 131131010012333 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, ten million, twelve thousand, three hundred thirty-three".

Divisors: 1 31 1093 33883 3870112151 119973476681 4230032581043 131131010012333