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1020131313059 is a prime number
BaseRepresentation
bin11101101100001001001…
…00001000010110100011
310121112010201001002101102
432312010210020112203
5113203212104004214
62100350350225015
7133462543042565
oct16660444102643
93545121032342
101020131313059
113636a9593401
1214585bab516b
1375275c2b7c1
1437535d51335
151b808cbebde
hexed849085a3

1020131313059 has 2 divisors, whose sum is σ = 1020131313060. Its totient is φ = 1020131313058.

The previous prime is 1020131313007. The next prime is 1020131313121. The reversal of 1020131313059 is 9503131310201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020131313059 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020131313359) 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 as a sum of consecutive naturals, namely, 510065656529 + 510065656530.

It is an arithmetic number, because the mean of its divisors is an integer number (510065656530).

Almost surely, 21020131313059 is an apocalyptic number.

1020131313059 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020131313059 is an equidigital number, since it uses as much as digits as its factorization.

1020131313059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 29.

The spelling of 1020131313059 in words is "one trillion, twenty billion, one hundred thirty-one million, three hundred thirteen thousand, fifty-nine".