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1001016111013 is a prime number
BaseRepresentation
bin11101001000100010011…
…01011010111110100101
310112200210112102012202021
432210101031122332211
5112400040111023023
62043505505143141
7132215053360552
oct16442115327645
93480715365667
101001016111013
1135658a553166
1214200632aab1
137351a956c69
1436641389a29
151b08aa7b35d
hexe91135afa5

1001016111013 has 2 divisors, whose sum is σ = 1001016111014. Its totient is φ = 1001016111012.

The previous prime is 1001016111001. The next prime is 1001016111023. The reversal of 1001016111013 is 3101116101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 873697739524 + 127318371489 = 934718^2 + 356817^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001016111013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001016111023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500508055506 + 500508055507.

It is an arithmetic number, because the mean of its divisors is an integer number (500508055507).

Almost surely, 21001016111013 is an apocalyptic number.

It is an amenable number.

1001016111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001016111013 is an equidigital number, since it uses as much as digits as its factorization.

1001016111013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 1001016111013 in words is "one trillion, one billion, sixteen million, one hundred eleven thousand, thirteen".