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10131355130389 is a prime number
BaseRepresentation
bin1001001101101110001111…
…0100101101101000010101
31022212112210120002020212121
42103123203310231220111
52311443003403133024
633314140313215541
72063652265465153
oct223334364555025
938775716066777
1010131355130389
113256757935719
1211776364015b1
135864c89cb64c
1427050858a3d3
15128816c368e4
hex936e3d2da15

10131355130389 has 2 divisors, whose sum is σ = 10131355130390. Its totient is φ = 10131355130388.

The previous prime is 10131355130333. The next prime is 10131355130411. The reversal of 10131355130389 is 98303155313101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5252425161489 + 4878929968900 = 2291817^2 + 2208830^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131355130389 - 213 = 10131355122197 is a prime.

It is a super-2 number, since 2×101313551303892 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131355130089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065677565194 + 5065677565195.

It is an arithmetic number, because the mean of its divisors is an integer number (5065677565195).

Almost surely, 210131355130389 is an apocalyptic number.

It is an amenable number.

10131355130389 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131355130389 is an equidigital number, since it uses as much as digits as its factorization.

10131355130389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145800, while the sum is 43.

The spelling of 10131355130389 in words is "ten trillion, one hundred thirty-one billion, three hundred fifty-five million, one hundred thirty thousand, three hundred eighty-nine".