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13013827037 is a prime number
BaseRepresentation
bin11000001111010111…
…10011110111011101
31020120221210220120222
430013223303313131
5203123014431122
65551203251125
7640331463461
oct140753636735
936527726528
1013013827037
115578a69962
122632379aa5
1312c5203493
148b65284a1
15512783b42
hex307af3ddd

13013827037 has 2 divisors, whose sum is σ = 13013827038. Its totient is φ = 13013827036.

The previous prime is 13013827027. The next prime is 13013827093. The reversal of 13013827037 is 73072831031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8580131641 + 4433695396 = 92629^2 + 66586^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013827037 - 28 = 13013826781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13013826988 and 13013827006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13013827027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506913518 + 6506913519.

It is an arithmetic number, because the mean of its divisors is an integer number (6506913519).

Almost surely, 213013827037 is an apocalyptic number.

It is an amenable number.

13013827037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013827037 is an equidigital number, since it uses as much as digits as its factorization.

13013827037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 13013827037 in words is "thirteen billion, thirteen million, eight hundred twenty-seven thousand, thirty-seven".