10131400289 has 2 divisors, whose sum is σ = 10131400290. Its totient is φ = 10131400288.

The previous prime is 10131400261. The next prime is 10131400303. The reversal of 10131400289 is 98200413101.

10131400289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5414457889 + 4716942400 = 73583^2 + 68680^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131400289 - 2¹² = 10131396193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10131400259) 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, 5065700144 + 5065700145.

It is an arithmetic number, because the mean of its divisors is an integer number (5065700145).

Almost surely, 2^10131400289 is an apocalyptic number.

It is an amenable number.

10131400289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131400289 is an equidigital number, since it uses as much as digits as its factorization.

10131400289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 10131400289 in words is "ten billion, one hundred thirty-one million, four hundred thousand, two hundred eighty-nine".