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128332117013 is a prime number
BaseRepresentation
bin111011110000100110…
…0001011010000010101
3110021020200112000021212
41313201030023100111
54100311010221023
6134542134351205
712162121665512
oct1674114132025
9407220460255
10128332117013
114a475152a41
1220a561bb505
13c142491a19
1462d5b84309
153511705e78
hex1de130b415

128332117013 has 2 divisors, whose sum is σ = 128332117014. Its totient is φ = 128332117012.

The previous prime is 128332116943. The next prime is 128332117061. The reversal of 128332117013 is 310711233821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89869847089 + 38462269924 = 299783^2 + 196118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-128332117013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (128332117913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64166058506 + 64166058507.

It is an arithmetic number, because the mean of its divisors is an integer number (64166058507).

Almost surely, 2128332117013 is an apocalyptic number.

It is an amenable number.

128332117013 is a deficient number, since it is larger than the sum of its proper divisors (1).

128332117013 is an equidigital number, since it uses as much as digits as its factorization.

128332117013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 128332117013 in words is "one hundred twenty-eight billion, three hundred thirty-two million, one hundred seventeen thousand, thirteen".