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131413130124021 = 32107991352112131
BaseRepresentation
bin11101111000010100000000…
…111100001001101011110101
3122020021222020222122111022100
4131320110000330021223311
5114211033042302432041
61143254205240452313
736452166604444464
oct3570240074115365
9566258228574270
10131413130124021
1138965aa5026a89
12128a48b347a099
1358432884c0ac5
1424646025269db
15102d5552b06b6
hex778500f09af5

131413130124021 has 12 divisors (see below), whose sum is σ = 189836543332800. Its totient is φ = 87600640678440.

The previous prime is 131413130123999. The next prime is 131413130124047. The reversal of 131413130124021 is 120421031314131.

131413130124021 is a `hidden beast` number, since 1 + 3 + 1 + 413 + 1 + 3 + 0 + 1 + 240 + 2 + 1 = 666.

It is not a de Polignac number, because 131413130124021 - 239 = 130863374310133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413130124091) 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 11 ways as a sum of consecutive naturals, for example, 675958875 + ... + 676153256.

It is an arithmetic number, because the mean of its divisors is an integer number (15819711944400).

Almost surely, 2131413130124021 is an apocalyptic number.

It is an amenable number.

131413130124021 is a deficient number, since it is larger than the sum of its proper divisors (58423413208779).

131413130124021 is a wasteful number, since it uses less digits than its factorization.

131413130124021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352122936 (or 1352122933 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131413130124021 its reverse (120421031314131), we get a palindrome (251834161438152).

The spelling of 131413130124021 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred thirty million, one hundred twenty-four thousand, twenty-one".

Divisors: 1 3 9 10799 32397 97191 1352112131 4056336393 12169009179 14601458902669 43804376708007 131413130124021