1001112001031 has 2 divisors, whose sum is σ = 1001112001032. Its totient is φ = 1001112001030.

The previous prime is 1001112001013. The next prime is 1001112001051. The reversal of 1001112001031 is 1301002111001.

It is a happy number.

Together with previous prime (1001112001013) 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 not a de Polignac number, because 1001112001031 - 2¹⁴ = 1001111984647 is a prime.

It is a super-2 number, since 2×1001112001031² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001112001051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500556000515 + 500556000516.

It is an arithmetic number, because the mean of its divisors is an integer number (500556000516).

Almost surely, 2^{1001112001031} is an apocalyptic number.

1001112001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001112001031 is an equidigital number, since it uses as much as digits as its factorization.

1001112001031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1001112001031 its reverse (1301002111001), we get a palindrome (2302114112032).

The spelling of 1001112001031 in words is "one trillion, one billion, one hundred twelve million, one thousand, thirty-one".