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13131348389 is a prime number
BaseRepresentation
bin11000011101011000…
…00111100110100101
31020220010221121120122
430032230013212211
5203343111122024
610011002211325
7643256422355
oct141654074645
936803847518
1013131348389
115629338445
1226657b3b45
131313670143
148c7d9ab65
1551cc49d5e
hex30eb079a5

13131348389 has 2 divisors, whose sum is σ = 13131348390. Its totient is φ = 13131348388.

The previous prime is 13131348371. The next prime is 13131348407. The reversal of 13131348389 is 98384313131.

13131348389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13131348371) and next prime (13131348407).

It can be written as a sum of positive squares in only one way, i.e., 10086184900 + 3045163489 = 100430^2 + 55183^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131348389 - 220 = 13130299813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131348319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565674194 + 6565674195.

It is an arithmetic number, because the mean of its divisors is an integer number (6565674195).

Almost surely, 213131348389 is an apocalyptic number.

It is an amenable number.

13131348389 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131348389 is an equidigital number, since it uses as much as digits as its factorization.

13131348389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 44.

The spelling of 13131348389 in words is "thirteen billion, one hundred thirty-one million, three hundred forty-eight thousand, three hundred eighty-nine".