10100011011031 has 2 divisors, whose sum is σ = 10100011011032. Its totient is φ = 10100011011030.

The previous prime is 10100011010977. The next prime is 10100011011047. The reversal of 10100011011031 is 13011011000101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100011011031 - 2⁹ = 10100011010519 is a prime.

It is a super-2 number, since 2×10100011011031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100011010999 and 10100011011017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100011011071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005505515 + 5050005505516.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005505516).

Almost surely, 2^{10100011011031} is an apocalyptic number.

10100011011031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011011031 is an equidigital number, since it uses as much as digits as its factorization.

10100011011031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10100011011031 its reverse (13011011000101), we get a palindrome (23111022011132).

The spelling of 10100011011031 in words is "ten trillion, one hundred billion, eleven million, eleven thousand, thirty-one".