1024112100031 has 2 divisors, whose sum is σ = 1024112100032. Its totient is φ = 1024112100030.

The previous prime is 1024112100013. The next prime is 1024112100047. The reversal of 1024112100031 is 1300012114201.

Together with previous prime (1024112100013) it forms an Ormiston pair, because they use the same digits, order apart.

It is an a-pointer prime, because the next prime (1024112100047) can be obtained adding 1024112100031 to its sum of digits (16).

It is a strong prime.

It is an emirp because it is prime and its reverse (1300012114201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1024112100031 - 2²⁷ = 1023977882303 is a prime.

It is a super-2 number, since 2×1024112100031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024112099978 and 1024112100014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1024112100071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512056050015 + 512056050016.

It is an arithmetic number, because the mean of its divisors is an integer number (512056050016).

Almost surely, 2^{1024112100031} is an apocalyptic number.

1024112100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1024112100031 is an equidigital number, since it uses as much as digits as its factorization.

1024112100031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1024112100031 its reverse (1300012114201), we get a palindrome (2324124214232).

The spelling of 1024112100031 in words is "one trillion, twenty-four billion, one hundred twelve million, one hundred thousand, thirty-one".