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103313010001 is a prime number
BaseRepresentation
bin110000000110111101…
…1110110110101010001
3100212200001122200120211
41200031323312311101
53143041112310001
6115243352204121
710315123044535
oct1401573666521
9325601580524
10103313010001
113a8a65565a3
1218033399641
139985cc86a6
145001065bc5
152a4a00c351
hex180def6d51

103313010001 has 2 divisors, whose sum is σ = 103313010002. Its totient is φ = 103313010000.

The previous prime is 103313009999. The next prime is 103313010037. The reversal of 103313010001 is 100010313301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100997475601 + 2315534400 = 317801^2 + 48120^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313010001 - 21 = 103313009999 is a prime.

Together with 103313009999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (103313010041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656505000 + 51656505001.

It is an arithmetic number, because the mean of its divisors is an integer number (51656505001).

Almost surely, 2103313010001 is an apocalyptic number.

It is an amenable number.

103313010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313010001 is an equidigital number, since it uses as much as digits as its factorization.

103313010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 103313010001 its reverse (100010313301), we get a palindrome (203323323302).

The spelling of 103313010001 in words is "one hundred three billion, three hundred thirteen million, ten thousand, one".