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13131444373 is a prime number
BaseRepresentation
bin11000011101011000…
…11111000010010101
31020220011010111020121
430032230133002111
5203343122204443
610011004231541
7643260302245
oct141654370225
936804114217
1013131444373
1156293a3573
12266583b5b1
1313136a4a38
148c7dc3b25
1551cc684ed
hex30eb1f095

13131444373 has 2 divisors, whose sum is σ = 13131444374. Its totient is φ = 13131444372.

The previous prime is 13131444367. The next prime is 13131444421. The reversal of 13131444373 is 37344413131.

13131444373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12592879524 + 538564849 = 112218^2 + 23207^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131444373 - 25 = 13131444341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131444773) 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, 6565722186 + 6565722187.

It is an arithmetic number, because the mean of its divisors is an integer number (6565722187).

Almost surely, 213131444373 is an apocalyptic number.

It is an amenable number.

13131444373 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131444373 is an equidigital number, since it uses as much as digits as its factorization.

13131444373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 34.

The spelling of 13131444373 in words is "thirteen billion, one hundred thirty-one million, four hundred forty-four thousand, three hundred seventy-three".