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1022110012013 is a prime number
BaseRepresentation
bin11101101111110101000…
…00010001001001101101
310121201020121022102001212
432313322200101021231
5113221240130341023
62101314552444205
7133562560516316
oct16677240211155
93551217272055
101022110012013
113645245011a2
121461126a9665
13754ccb5849c
1437682a6360d
151b8c2875e78
hexedfa81126d

1022110012013 has 2 divisors, whose sum is σ = 1022110012014. Its totient is φ = 1022110012012.

The previous prime is 1022110011977. The next prime is 1022110012019. The reversal of 1022110012013 is 3102100112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 990339444964 + 31770567049 = 995158^2 + 178243^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022110012013 - 28 = 1022110011757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022110012019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511055006006 + 511055006007.

It is an arithmetic number, because the mean of its divisors is an integer number (511055006007).

Almost surely, 21022110012013 is an apocalyptic number.

It is an amenable number.

1022110012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022110012013 is an equidigital number, since it uses as much as digits as its factorization.

1022110012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1022110012013 its reverse (3102100112201), we get a palindrome (4124210124214).

The spelling of 1022110012013 in words is "one trillion, twenty-two billion, one hundred ten million, twelve thousand, thirteen".