10133110031 has 6 divisors (see below), whose sum is σ = 11138046696. Its totient is φ = 9211918100.

The previous prime is 10133110019. The next prime is 10133110033. The reversal of 10133110031 is 13001133101.

It is a happy number.

It is not a de Polignac number, because 10133110031 - 2¹⁸ = 10132847887 is a prime.

It is a super-2 number, since 2×10133110031² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10133109988 and 10133110015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133110033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41872235 + ... + 41872476.

It is an arithmetic number, because the mean of its divisors is an integer number (1856341116).

Almost surely, 2^10133110031 is an apocalyptic number.

10133110031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133110031 is a deficient number, since it is larger than the sum of its proper divisors (1004936665).

10133110031 is an equidigital number, since it uses as much as digits as its factorization.

10133110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83744733 (or 83744722 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10133110031 its reverse (13001133101), we get a palindrome (23134243132).

The spelling of 10133110031 in words is "ten billion, one hundred thirty-three million, one hundred ten thousand, thirty-one".