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131413330333037 is a prime number
BaseRepresentation
bin11101111000010100001100…
…110111111000110101101101
3122020021222202221101011110002
4131320110030313320311231
5114211034000031124122
61143254241151554045
736452204555262314
oct3570241467706555
9566258687334402
10131413330333037
1138966098041a85
12128a494a52b925
1358432bab1c28c
142464620d6127b
15102d567b5b992
hex77850cdf8d6d

131413330333037 has 2 divisors, whose sum is σ = 131413330333038. Its totient is φ = 131413330333036.

The previous prime is 131413330332989. The next prime is 131413330333067. The reversal of 131413330333037 is 730333033314131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71387730163876 + 60025600169161 = 8449126^2 + 7747619^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131413330333037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131413330333067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706665166518 + 65706665166519.

It is an arithmetic number, because the mean of its divisors is an integer number (65706665166519).

Almost surely, 2131413330333037 is an apocalyptic number.

It is an amenable number.

131413330333037 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413330333037 is an equidigital number, since it uses as much as digits as its factorization.

131413330333037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 183708, while the sum is 38.

Adding to 131413330333037 its reverse (730333033314131), we get a palindrome (861746363647168).

The spelling of 131413330333037 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirty million, three hundred thirty-three thousand, thirty-seven".