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131413101401421 = 3275935354614313
BaseRepresentation
bin11101111000010011111111…
…001110100101010101001101
3122020021222011222121020022100
4131320103333032211111031
5114211033012424321141
61143254202333105313
736452166105346230
oct3570237716452515
9566258158536270
10131413101401421
1138965a8a8992a4
12128a48a5928239
135843282575398
1424645dc7ab417
15102d5529da0b6
hex7784ff3a554d

131413101401421 has 24 divisors (see below), whose sum is σ = 220612793319360. Its totient is φ = 73820434683456.

The previous prime is 131413101401317. The next prime is 131413101401459. The reversal of 131413101401421 is 124104101314131.

131413101401421 is a `hidden beast` number, since 1 + 3 + 1 + 413 + 101 + 4 + 0 + 142 + 1 = 666.

It is not a de Polignac number, because 131413101401421 - 217 = 131413101270349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413101401221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17677303440 + ... + 17677310873.

It is an arithmetic number, because the mean of its divisors is an integer number (9192199721640).

Almost surely, 2131413101401421 is an apocalyptic number.

It is an amenable number.

131413101401421 is a deficient number, since it is larger than the sum of its proper divisors (89199691917939).

131413101401421 is a wasteful number, since it uses less digits than its factorization.

131413101401421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35354614385 (or 35354614382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131413101401421 its reverse (124104101314131), we get a palindrome (255517202715552).

The spelling of 131413101401421 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred one million, four hundred one thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 59 63 177 413 531 1239 3717 35354614313 106063842939 247482300191 318191528817 742446900573 2085922244467 2227340701719 6257766733401 14601455711269 18773300200203 43804367133807 131413101401421