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1001102407313 is a prime number
BaseRepresentation
bin11101001000101100101…
…10100111011010010001
310112201000112210112000112
432210112112213122101
5112400224204013223
62043522230531105
7132220152026351
oct16442626473221
93481015715015
101001102407313
11356624234918
1214202b206a95
13735327b0168
143664ca10b61
151b093425778
hexe9165a7691

1001102407313 has 2 divisors, whose sum is σ = 1001102407314. Its totient is φ = 1001102407312.

The previous prime is 1001102407289. The next prime is 1001102407439. The reversal of 1001102407313 is 3137042011001.

It is a happy number.

1001102407313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 831649154704 + 169453252609 = 911948^2 + 411647^2 .

It is an emirp because it is prime and its reverse (3137042011001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001102407313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001102407913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500551203656 + 500551203657.

It is an arithmetic number, because the mean of its divisors is an integer number (500551203657).

Almost surely, 21001102407313 is an apocalyptic number.

It is an amenable number.

1001102407313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001102407313 is an equidigital number, since it uses as much as digits as its factorization.

1001102407313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 1001102407313 its reverse (3137042011001), we get a palindrome (4138144418314).

The spelling of 1001102407313 in words is "one trillion, one billion, one hundred two million, four hundred seven thousand, three hundred thirteen".