10032011031 has 48 divisors (see below), whose sum is σ = 15882480000. Its totient is φ = 5614120512.

The previous prime is 10032011027. The next prime is 10032011071. The reversal of 10032011031 is 13011023001.

It is not a de Polignac number, because 10032011031 - 2² = 10032011027 is a prime.

It is a super-2 number, since 2×10032011031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10032010998 and 10032011016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032011071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6691720 + ... + 6693218.

It is an arithmetic number, because the mean of its divisors is an integer number (330885000).

Almost surely, 2^10032011031 is an apocalyptic number.

10032011031 is a deficient number, since it is larger than the sum of its proper divisors (5850468969).

10032011031 is a wasteful number, since it uses less digits than its factorization.

10032011031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10032011031 its reverse (13011023001), we get a palindrome (23043034032).

The spelling of 10032011031 in words is "ten billion, thirty-two million, eleven thousand, thirty-one".