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102041131013 is a prime number
BaseRepresentation
bin101111100001000100…
…0000001100000000101
3100202101102101112121122
41133002020001200011
53132440012143023
6114513235323325
710241450205533
oct1370210014005
9322342345548
10102041131013
113a303616038
1217939450545
139812658383
144d20185153
1529c35242c8
hex17c2201805

102041131013 has 2 divisors, whose sum is σ = 102041131014. Its totient is φ = 102041131012.

The previous prime is 102041131001. The next prime is 102041131033. The reversal of 102041131013 is 310131140201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102017637604 + 23493409 = 319402^2 + 4847^2 .

It is an emirp because it is prime and its reverse (310131140201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102041131013 - 210 = 102041129989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102041130982 and 102041131000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102041131033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51020565506 + 51020565507.

It is an arithmetic number, because the mean of its divisors is an integer number (51020565507).

Almost surely, 2102041131013 is an apocalyptic number.

It is an amenable number.

102041131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102041131013 is an equidigital number, since it uses as much as digits as its factorization.

102041131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102041131013 its reverse (310131140201), we get a palindrome (412172271214).

The spelling of 102041131013 in words is "one hundred two billion, forty-one million, one hundred thirty-one thousand, thirteen".