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13136197001 is a prime number
BaseRepresentation
bin11000011101111101…
…00111010110001001
31020220111001221121212
430032332213112021
5203400331301001
610011254142505
7643345555304
oct141676472611
936814057555
1013136197001
11563104a264
122667351a35
13131467a045
148c889db3b
1551d3a67bb
hex30efa7589

13136197001 has 2 divisors, whose sum is σ = 13136197002. Its totient is φ = 13136197000.

The previous prime is 13136196901. The next prime is 13136197031. The reversal of 13136197001 is 10079163131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10075341376 + 3060855625 = 100376^2 + 55325^2 .

It is a cyclic number.

It is not a de Polignac number, because 13136197001 - 210 = 13136195977 is a prime.

It is a super-3 number, since 3×131361970013 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13136197031) 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, 6568098500 + 6568098501.

It is an arithmetic number, because the mean of its divisors is an integer number (6568098501).

Almost surely, 213136197001 is an apocalyptic number.

It is an amenable number.

13136197001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13136197001 is an equidigital number, since it uses as much as digits as its factorization.

13136197001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 32.

The spelling of 13136197001 in words is "thirteen billion, one hundred thirty-six million, one hundred ninety-seven thousand, one".