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13136510801 is a prime number
BaseRepresentation
bin11000011101111111…
…10011111101010001
31020220111122220002002
430032333303331101
5203400421321201
610011305003345
7643351333211
oct141677637521
936814586062
1013136510801
115631243aa7
122667483555
131314759b1b
148c8942241
1551d41976b
hex30eff3f51

13136510801 has 2 divisors, whose sum is σ = 13136510802. Its totient is φ = 13136510800.

The previous prime is 13136510771. The next prime is 13136510831. The reversal of 13136510801 is 10801563131.

It is a balanced prime because it is at equal distance from previous prime (13136510771) and next prime (13136510831).

It can be written as a sum of positive squares in only one way, i.e., 13018810000 + 117700801 = 114100^2 + 10849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13136510801 is a prime.

It is not a weakly prime, because it can be changed into another prime (13136510831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568255400 + 6568255401.

It is an arithmetic number, because the mean of its divisors is an integer number (6568255401).

Almost surely, 213136510801 is an apocalyptic number.

It is an amenable number.

13136510801 is a deficient number, since it is larger than the sum of its proper divisors (1).

13136510801 is an equidigital number, since it uses as much as digits as its factorization.

13136510801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 13136510801 in words is "thirteen billion, one hundred thirty-six million, five hundred ten thousand, eight hundred one".