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131413101321341 = 725917497243487
BaseRepresentation
bin11101111000010011111111…
…001110010001110001111101
3122020021222011222110011110102
4131320103333032101301331
5114211033012414240331
61143254202331250445
736452166104563610
oct3570237716216175
9566258158404412
10131413101321341
1138965a8a844114
12128a48a58a9a25
135843282547ab8
1424645dc78a177
15102d5529c14cb
hex7784ff391c7d

131413101321341 has 8 divisors (see below), whose sum is σ = 150186480192000. Its totient is φ = 112639742121168.

The previous prime is 131413101321319. The next prime is 131413101321389. The reversal of 131413101321341 is 143123101314131.

It is a happy number.

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 131413101321341 - 230 = 131412027579517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413101321391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14520500 + ... + 21763986.

It is an arithmetic number, because the mean of its divisors is an integer number (18773310024000).

Almost surely, 2131413101321341 is an apocalyptic number.

It is an amenable number.

131413101321341 is a deficient number, since it is larger than the sum of its proper divisors (18773378870659).

131413101321341 is an equidigital number, since it uses as much as digits as its factorization.

131413101321341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835243.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 131413101321341 its reverse (143123101314131), we get a palindrome (274536202635472).

The spelling of 131413101321341 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred one million, three hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 7 2591749 7243487 18142243 50704409 18773300188763 131413101321341