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20210102131013 is a prime number
BaseRepresentation
bin1001001100001100001111…
…11101010101100101000101
32122120001210202200121200122
410212012013331111211011
510122110242121143023
6110552220455551325
74154063112456614
oct446060775254505
978501722617618
1020210102131013
11649206885a843
122324a2a38b545
13b37a5c4cbb12
144dc261c8987b
15250aa013e2c8
hex126187f55945

20210102131013 has 2 divisors, whose sum is σ = 20210102131014. Its totient is φ = 20210102131012.

The previous prime is 20210102131003. The next prime is 20210102131027. The reversal of 20210102131013 is 31013120101202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18389499736804 + 1820602394209 = 4288298^2 + 1349297^2 .

It is a cyclic number.

It is not a de Polignac number, because 20210102131013 - 222 = 20210097936709 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20210102130982 and 20210102131000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20210102131003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10105051065506 + 10105051065507.

It is an arithmetic number, because the mean of its divisors is an integer number (10105051065507).

Almost surely, 220210102131013 is an apocalyptic number.

It is an amenable number.

20210102131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20210102131013 is an equidigital number, since it uses as much as digits as its factorization.

20210102131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20210102131013 its reverse (31013120101202), we get a palindrome (51223222232215).

The spelling of 20210102131013 in words is "twenty trillion, two hundred ten billion, one hundred two million, one hundred thirty-one thousand, thirteen".