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2023313100013 is a prime number
BaseRepresentation
bin11101011100010110110…
…110111100110011101101
321011102112011120001000201
4131130112312330303231
5231122221123200023
64145255221353501
7266115404404462
oct35342666746355
97142464501021
102023313100013
1171009a551997
1228816b568891
13118a4a459bca
146dd00ba1669
153796ea37bad
hex1d716dbcced

2023313100013 has 2 divisors, whose sum is σ = 2023313100014. Its totient is φ = 2023313100012.

The previous prime is 2023313099987. The next prime is 2023313100023. The reversal of 2023313100013 is 3100013133202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2022348500649 + 964599364 = 1422093^2 + 31058^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2023313100013 is a prime.

It is a super-2 number, since 2×20233131000132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2023313100023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011656550006 + 1011656550007.

It is an arithmetic number, because the mean of its divisors is an integer number (1011656550007).

Almost surely, 22023313100013 is an apocalyptic number.

It is an amenable number.

2023313100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023313100013 is an equidigital number, since it uses as much as digits as its factorization.

2023313100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2023313100013 its reverse (3100013133202), we get a palindrome (5123326233215).

The spelling of 2023313100013 in words is "two trillion, twenty-three billion, three hundred thirteen million, one hundred thousand, thirteen".