10133011031 has 32 divisors (see below), whose sum is σ = 12757989888. Its totient is φ = 7913600640.

The previous prime is 10133011003. The next prime is 10133011033. The reversal of 10133011031 is 13011033101.

It is a happy number.

It is not a de Polignac number, because 10133011031 - 2²⁶ = 10065902167 is a prime.

It is a super-2 number, since 2×10133011031² (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 = 10133010997 and 10133011015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133011033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80060 + ... + 163326.

It is an arithmetic number, because the mean of its divisors is an integer number (398687184).

Almost surely, 2^10133011031 is an apocalyptic number.

10133011031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133011031 is a deficient number, since it is larger than the sum of its proper divisors (2624978857).

10133011031 is a wasteful number, since it uses less digits than its factorization.

10133011031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83351.

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

Adding to 10133011031 its reverse (13011033101), we get a palindrome (23144044132).

The spelling of 10133011031 in words is "ten billion, one hundred thirty-three million, eleven thousand, thirty-one".