10021137031 has 2 divisors, whose sum is σ = 10021137032. Its totient is φ = 10021137030.

The previous prime is 10021137013. The next prime is 10021137059. The reversal of 10021137031 is 13073112001.

10021137031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10021137013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10021137031 is a prime.

It is a super-2 number, since 2×10021137031² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021137131) 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, 5010568515 + 5010568516.

It is an arithmetic number, because the mean of its divisors is an integer number (5010568516).

Almost surely, 2^10021137031 is an apocalyptic number.

10021137031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021137031 is an equidigital number, since it uses as much as digits as its factorization.

10021137031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 10021137031 its reverse (13073112001), we get a palindrome (23094249032).

The spelling of 10021137031 in words is "ten billion, twenty-one million, one hundred thirty-seven thousand, thirty-one".