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13131326457 = 322237652229
BaseRepresentation
bin11000011101011000…
…00010001111111001
31020220010220111111100
430032230002033321
5203343104421312
610011001522013
7643256301414
oct141654021771
936803814440
1013131326457
115629322a17
1226657a3309
131313663172
148c7d92b7b
1551cc435dc
hex30eb023f9

13131326457 has 12 divisors (see below), whose sum is σ = 18975979620. Its totient is φ = 8750290848.

The previous prime is 13131326447. The next prime is 13131326459. The reversal of 13131326457 is 75462313131.

13131326457 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 3 + 2 + 645 + 7 = 666.

13131326457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11565066681 + 1566259776 = 107541^2 + 39576^2 .

It is not a de Polignac number, because 13131326457 - 24 = 13131326441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13131326459) 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 in 11 ways as a sum of consecutive naturals, for example, 305982 + ... + 346247.

It is an arithmetic number, because the mean of its divisors is an integer number (1581331635).

Almost surely, 213131326457 is an apocalyptic number.

It is an amenable number.

13131326457 is a deficient number, since it is larger than the sum of its proper divisors (5844653163).

13131326457 is a wasteful number, since it uses less digits than its factorization.

13131326457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654472 (or 654469 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

Adding to 13131326457 its reverse (75462313131), we get a palindrome (88593639588).

The spelling of 13131326457 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-six thousand, four hundred fifty-seven".

Divisors: 1 3 9 2237 6711 20133 652229 1956687 5870061 1459036273 4377108819 13131326457