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10131001079 is a prime number
BaseRepresentation
bin10010110111101101…
…01100111011110111
3222011001021011211012
421123312230323313
5131222014013304
64353142302435
7506025042203
oct113366547367
928131234735
1010131001079
114329760071
121b68a27a1b
13c55b967c4
146c1703b03
153e463816e
hex25bdacef7

10131001079 has 2 divisors, whose sum is σ = 10131001080. Its totient is φ = 10131001078.

The previous prime is 10131001073. The next prime is 10131001091. The reversal of 10131001079 is 97010013101.

It is a weak prime.

It is an emirp because it is prime and its reverse (97010013101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131001079 is a prime.

It is a super-3 number, since 3×101310010793 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131001073) 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, 5065500539 + 5065500540.

It is an arithmetic number, because the mean of its divisors is an integer number (5065500540).

Almost surely, 210131001079 is an apocalyptic number.

10131001079 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131001079 is an equidigital number, since it uses as much as digits as its factorization.

10131001079 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 23.

The spelling of 10131001079 in words is "ten billion, one hundred thirty-one million, one thousand, seventy-nine".