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131320122011329 is a prime number
BaseRepresentation
bin11101110110111101011001…
…001110010110111011000001
3122012222002012002110211022211
4131312331121032112323001
5114203022102213330304
61143143344202102121
736442365020516206
oct3566753116267301
9565862162424284
10131320122011329
113892a607404349
121288a8771aa941
1358375854067b4
14245dcdbd0dcad
15102ae0ecdb204
hex776f59396ec1

131320122011329 has 2 divisors, whose sum is σ = 131320122011330. Its totient is φ = 131320122011328.

The previous prime is 131320122011293. The next prime is 131320122011339. The reversal of 131320122011329 is 923110221023131.

It is a happy number.

Together with previous prime (131320122011293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122456687980225 + 8863434031104 = 11066015^2 + 2977152^2 .

It is a cyclic number.

It is not a de Polignac number, because 131320122011329 - 27 = 131320122011201 is a prime.

It is a super-4 number, since 4×1313201220113294 (a number of 58 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131320122011329.

It is not a weakly prime, because it can be changed into another prime (131320122011339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65660061005664 + 65660061005665.

It is an arithmetic number, because the mean of its divisors is an integer number (65660061005665).

Almost surely, 2131320122011329 is an apocalyptic number.

It is an amenable number.

131320122011329 is a deficient number, since it is larger than the sum of its proper divisors (1).

131320122011329 is an equidigital number, since it uses as much as digits as its factorization.

131320122011329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 131320122011329 in words is "one hundred thirty-one trillion, three hundred twenty billion, one hundred twenty-two million, eleven thousand, three hundred twenty-nine".