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10101313021 is a prime number
BaseRepresentation
bin10010110100001010…
…11100110111111101
3222001222101212110111
421122011130313331
5131141414004041
64350202110021
7505214513122
oct113205346775
928058355414
1010101313021
114313a22a88
121b5aaab311
13c4c9a07c7
146bb7b6749
153e1c21981
hex25a15cdfd

10101313021 has 2 divisors, whose sum is σ = 10101313022. Its totient is φ = 10101313020.

The previous prime is 10101313009. The next prime is 10101313067. The reversal of 10101313021 is 12031310101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7912102500 + 2189210521 = 88950^2 + 46789^2 .

It is an emirp because it is prime and its reverse (12031310101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10101313021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101312992 and 10101313010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101313091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050656510 + 5050656511.

It is an arithmetic number, because the mean of its divisors is an integer number (5050656511).

Almost surely, 210101313021 is an apocalyptic number.

It is an amenable number.

10101313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101313021 is an equidigital number, since it uses as much as digits as its factorization.

10101313021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10101313021 its reverse (12031310101), we get a palindrome (22132623122).

The spelling of 10101313021 in words is "ten billion, one hundred one million, three hundred thirteen thousand, twenty-one".