10331400137 has 2 divisors, whose sum is σ = 10331400138. Its totient is φ = 10331400136.

The previous prime is 10331400127. The next prime is 10331400139. The reversal of 10331400137 is 73100413301.

10331400137 is digitally balanced in base 3, 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., 9505470016 + 825930121 = 97496^2 + 28739^2 .

It is a cyclic number.

It is not a de Polignac number, because 10331400137 - 2¹² = 10331396041 is a prime.

Together with 10331400139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10331400139) 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, 5165700068 + 5165700069.

It is an arithmetic number, because the mean of its divisors is an integer number (5165700069).

Almost surely, 2^10331400137 is an apocalyptic number.

It is an amenable number.

10331400137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10331400137 is an equidigital number, since it uses as much as digits as its factorization.

10331400137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

Adding to 10331400137 its reverse (73100413301), we get a palindrome (83431813438).

The spelling of 10331400137 in words is "ten billion, three hundred thirty-one million, four hundred thousand, one hundred thirty-seven".