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31013130097 is a prime number
BaseRepresentation
bin11100111000100001…
…101100111101110001
32222001100200020121001
4130320201230331301
51002003330130342
622125223002001
72145351153625
oct347041547561
988040606531
1031013130097
1112175115734
126016299301
132c0324b771
141702c13185
15c17a508b7
hex73886cf71

31013130097 has 2 divisors, whose sum is σ = 31013130098. Its totient is φ = 31013130096.

The previous prime is 31013130047. The next prime is 31013130101. The reversal of 31013130097 is 79003131013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28765516816 + 2247613281 = 169604^2 + 47409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31013130097 is a prime.

It is not a weakly prime, because it can be changed into another prime (31013130007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15506565048 + 15506565049.

It is an arithmetic number, because the mean of its divisors is an integer number (15506565049).

Almost surely, 231013130097 is an apocalyptic number.

It is an amenable number.

31013130097 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013130097 is an equidigital number, since it uses as much as digits as its factorization.

31013130097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 28.

The spelling of 31013130097 in words is "thirty-one billion, thirteen million, one hundred thirty thousand, ninety-seven".