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13131300029 is a prime number
BaseRepresentation
bin11000011101010111…
…11011110010111101
31020220010212011020112
430032223323302331
5203343103100104
610011001155405
7643256131361
oct141653736275
936803764215
1013131300029
115629305081
12266578bb65
131313654123
148c7d872a1
1551cc3a86e
hex30eafbcbd

13131300029 has 2 divisors, whose sum is σ = 13131300030. Its totient is φ = 13131300028.

The previous prime is 13131299959. The next prime is 13131300031. The reversal of 13131300029 is 92000313131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11871192025 + 1260108004 = 108955^2 + 35498^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131300029 - 232 = 8836332733 is a prime.

Together with 13131300031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13131299977 and 13131300013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131300929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565650014 + 6565650015.

It is an arithmetic number, because the mean of its divisors is an integer number (6565650015).

Almost surely, 213131300029 is an apocalyptic number.

It is an amenable number.

13131300029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131300029 is an equidigital number, since it uses as much as digits as its factorization.

13131300029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 13131300029 in words is "thirteen billion, one hundred thirty-one million, three hundred thousand, twenty-nine".