1010312631127 has 2 divisors, whose sum is σ = 1010312631128. Its totient is φ = 1010312631126.

The previous prime is 1010312631109. The next prime is 1010312631173. The reversal of 1010312631127 is 7211362130101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010312631127 is a prime.

It is a super-2 number, since 2×1010312631127² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010312631095 and 1010312631104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010312634127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505156315563 + 505156315564.

It is an arithmetic number, because the mean of its divisors is an integer number (505156315564).

Almost surely, 2^{1010312631127} is an apocalyptic number.

1010312631127 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010312631127 is an equidigital number, since it uses as much as digits as its factorization.

1010312631127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 1010312631127 its reverse (7211362130101), we get a palindrome (8221674761228).

The spelling of 1010312631127 in words is "one trillion, ten billion, three hundred twelve million, six hundred thirty-one thousand, one hundred twenty-seven".