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10121301013 is a prime number
BaseRepresentation
bin10010110110100011…
…01100110000010101
3222010101000100211111
421123101230300111
5131212023113023
64352154335021
7505546432135
oct113321546025
928111010744
1010121301013
11432423528a
121b6572a471
13c53b7b615
146c02daac5
153e386e00d
hex25b46cc15

10121301013 has 2 divisors, whose sum is σ = 10121301014. Its totient is φ = 10121301012.

The previous prime is 10121300947. The next prime is 10121301053. The reversal of 10121301013 is 31010312101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10007601444 + 113699569 = 100038^2 + 10663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10121301013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121300984 and 10121301002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121301053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060650506 + 5060650507.

It is an arithmetic number, because the mean of its divisors is an integer number (5060650507).

Almost surely, 210121301013 is an apocalyptic number.

It is an amenable number.

10121301013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121301013 is an equidigital number, since it uses as much as digits as its factorization.

10121301013 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 10121301013 its reverse (31010312101), we get a palindrome (41131613114).

The spelling of 10121301013 in words is "ten billion, one hundred twenty-one million, three hundred one thousand, thirteen".