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131311036111357 is a prime number
BaseRepresentation
bin11101110110110100111011…
…101010011001100111111101
3122012221012201212202021201001
4131312310323222121213331
5114202400000221030412
61143135242431450301
736441623612610004
oct3566647352314775
9565835655667631
10131311036111357
1138926774682203
1212888b60386991
135836767c0b81b
14245d6b9337c3b
15102aa7c2e2957
hex776d3ba999fd

131311036111357 has 2 divisors, whose sum is σ = 131311036111358. Its totient is φ = 131311036111356.

The previous prime is 131311036111327. The next prime is 131311036111393. The reversal of 131311036111357 is 753111630113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83061605626596 + 48249430484761 = 9113814^2 + 6946181^2 .

It is a cyclic number.

It is not a de Polignac number, because 131311036111357 - 239 = 130761280297469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131311036111327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655518055678 + 65655518055679.

It is an arithmetic number, because the mean of its divisors is an integer number (65655518055679).

Almost surely, 2131311036111357 is an apocalyptic number.

It is an amenable number.

131311036111357 is a deficient number, since it is larger than the sum of its proper divisors (1).

131311036111357 is an equidigital number, since it uses as much as digits as its factorization.

131311036111357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 37.

Adding to 131311036111357 its reverse (753111630113131), we get a palindrome (884422666224488).

The spelling of 131311036111357 in words is "one hundred thirty-one trillion, three hundred eleven billion, thirty-six million, one hundred eleven thousand, three hundred fifty-seven".