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13301100313 is a prime number
BaseRepresentation
bin11000110001100111…
…01010111100011001
31021022222100220102221
430120303222330121
5204220040202223
610035504424041
7650420326054
oct143063527431
937288326387
1013301100313
115706140596
1226b2618021
13133c896577
14902747a9b
1552cacbb5d
hex318ceaf19

13301100313 has 2 divisors, whose sum is σ = 13301100314. Its totient is φ = 13301100312.

The previous prime is 13301100301. The next prime is 13301100341. The reversal of 13301100313 is 31300110331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12681687769 + 619412544 = 112613^2 + 24888^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13301100313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13301100383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650550156 + 6650550157.

It is an arithmetic number, because the mean of its divisors is an integer number (6650550157).

Almost surely, 213301100313 is an apocalyptic number.

It is an amenable number.

13301100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301100313 is an equidigital number, since it uses as much as digits as its factorization.

13301100313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13301100313 its reverse (31300110331), we get a palindrome (44601210644).

The spelling of 13301100313 in words is "thirteen billion, three hundred one million, one hundred thousand, three hundred thirteen".