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13431014023129 is a prime number
BaseRepresentation
bin1100001101110010011011…
…0100011101111111011001
31202112222210110102111212121
43003130212310131333121
53230023204042220004
644322042254541241
72554234022346043
oct303344664357731
952488713374777
1013431014023129
1143090742a776a
12160b02b507821
13765701798821
143460c9190a93
15184588c0a854
hexc3726d1dfd9

13431014023129 has 2 divisors, whose sum is σ = 13431014023130. Its totient is φ = 13431014023128.

The previous prime is 13431014023099. The next prime is 13431014023243. The reversal of 13431014023129 is 92132041013431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11108355726400 + 2322658296729 = 3332920^2 + 1524027^2 .

It is a cyclic number.

It is not a de Polignac number, because 13431014023129 - 229 = 13430477152217 is a prime.

It is a super-2 number, since 2×134310140231292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13431014023094 and 13431014023103.

It is not a weakly prime, because it can be changed into another prime (13431014023729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6715507011564 + 6715507011565.

It is an arithmetic number, because the mean of its divisors is an integer number (6715507011565).

Almost surely, 213431014023129 is an apocalyptic number.

It is an amenable number.

13431014023129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13431014023129 is an equidigital number, since it uses as much as digits as its factorization.

13431014023129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 13431014023129 in words is "thirteen trillion, four hundred thirty-one billion, fourteen million, twenty-three thousand, one hundred twenty-nine".