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13131113071 is a prime number
BaseRepresentation
bin11000011101010110…
…01110001001101111
31020220010111122210011
430032223032021233
5203343031104241
610010553154051
7643254422326
oct141653161157
936803448704
1013131113071
11562919766a
1226656bb927
1313135b9cbb
148c7d390bd
1551cc00281
hex30eace26f

13131113071 has 2 divisors, whose sum is σ = 13131113072. Its totient is φ = 13131113070.

The previous prime is 13131113063. The next prime is 13131113111. The reversal of 13131113071 is 17031113131.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13131113071 - 23 = 13131113063 is a prime.

It is a super-2 number, since 2×131311130712 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131113041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565556535 + 6565556536.

It is an arithmetic number, because the mean of its divisors is an integer number (6565556536).

Almost surely, 213131113071 is an apocalyptic number.

13131113071 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131113071 is an equidigital number, since it uses as much as digits as its factorization.

13131113071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

The spelling of 13131113071 in words is "thirteen billion, one hundred thirty-one million, one hundred thirteen thousand, seventy-one".