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10131013049 is a prime number
BaseRepresentation
bin10010110111101101…
…01111110110111001
3222011001021210020112
421123312233312321
5131222014404144
64353142434105
7506025122123
oct113366576671
928131253215
1010131013049
114329769063
121b68a32935
13c55b9c0a1
146c1708213
153e463b99e
hex25bdafdb9

10131013049 has 2 divisors, whose sum is σ = 10131013050. Its totient is φ = 10131013048.

The previous prime is 10131013007. The next prime is 10131013129. The reversal of 10131013049 is 94031013101.

10131013049 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9779825449 + 351187600 = 98893^2 + 18740^2 .

It is an emirp because it is prime and its reverse (94031013101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131013049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131013349) 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, 5065506524 + 5065506525.

It is an arithmetic number, because the mean of its divisors is an integer number (5065506525).

Almost surely, 210131013049 is an apocalyptic number.

It is an amenable number.

10131013049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131013049 is an equidigital number, since it uses as much as digits as its factorization.

10131013049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 10131013049 in words is "ten billion, one hundred thirty-one million, thirteen thousand, forty-nine".