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10131342313 is a prime number
BaseRepresentation
bin10010110111110000…
…00000001111101001
3222011001220111220111
421123320000033221
5131222110423223
64353153454321
7506030663101
oct113370001751
928131814814
1010131342313
114329973484
121b68b713a1
13c55c85c11
146c1792201
153e46a430d
hex25be003e9

10131342313 has 2 divisors, whose sum is σ = 10131342314. Its totient is φ = 10131342312.

The previous prime is 10131342293. The next prime is 10131342329. The reversal of 10131342313 is 31324313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9792487849 + 338854464 = 98957^2 + 18408^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131342313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131342343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065671156 + 5065671157.

It is an arithmetic number, because the mean of its divisors is an integer number (5065671157).

Almost surely, 210131342313 is an apocalyptic number.

It is an amenable number.

10131342313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131342313 is an equidigital number, since it uses as much as digits as its factorization.

10131342313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10131342313 its reverse (31324313101), we get a palindrome (41455655414).

The spelling of 10131342313 in words is "ten billion, one hundred thirty-one million, three hundred forty-two thousand, three hundred thirteen".