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131413330042301 is a prime number
BaseRepresentation
bin11101111000010100001100…
…110110110001110110111101
3122020021222202220211101122002
4131320110030312301312331
5114211033444442323201
61143254241141432045
736452204552641556
oct3570241466616675
9566258686741562
10131413330042301
11389660979635aa
12128a494a40b625
1358432baa49b48
142464620cc732d
15102d567b0076b
hex77850cdb1dbd

131413330042301 has 2 divisors, whose sum is σ = 131413330042302. Its totient is φ = 131413330042300.

The previous prime is 131413330042289. The next prime is 131413330042343. The reversal of 131413330042301 is 103240033314131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120734166168100 + 10679163874201 = 10987910^2 + 3267899^2 .

It is a cyclic number.

It is not a de Polignac number, because 131413330042301 - 238 = 131138452135357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131413333042301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706665021150 + 65706665021151.

It is an arithmetic number, because the mean of its divisors is an integer number (65706665021151).

Almost surely, 2131413330042301 is an apocalyptic number.

It is an amenable number.

131413330042301 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413330042301 is an equidigital number, since it uses as much as digits as its factorization.

131413330042301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 131413330042301 its reverse (103240033314131), we get a palindrome (234653363356432).

The spelling of 131413330042301 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, forty-two thousand, three hundred one".