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10100001000013 is a prime number
BaseRepresentation
bin1001001011111001011011…
…1110001100101001001101
31022202112212102202101211121
42102332112332030221031
52310434300224000023
633251513145320541
72061462303666301
oct222762676145115
938675772671747
1010100001000013
113244428292481
121171545a96151
1358356cc28192
1426cbb236dd01
15127ace2c8d5d
hex92f96f8ca4d

10100001000013 has 2 divisors, whose sum is σ = 10100001000014. Its totient is φ = 10100001000012.

The previous prime is 10100000999989. The next prime is 10100001000029. The reversal of 10100001000013 is 31000010000101.

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., 7243488625129 + 2856512374884 = 2691373^2 + 1690122^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100001000013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100001000073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000500006 + 5050000500007.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000500007).

Almost surely, 210100001000013 is an apocalyptic number.

It is an amenable number.

10100001000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001000013 is an equidigital number, since it uses as much as digits as its factorization.

10100001000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10100001000013 its reverse (31000010000101), we get a palindrome (41100011000114).

The spelling of 10100001000013 in words is "ten trillion, one hundred billion, one million, thirteen", and thus it is an aban number.