10003321331031 has 24 divisors (see below), whose sum is σ = 15555865688064. Its totient is φ = 5701258824240.

The previous prime is 10003321331021. The next prime is 10003321331051. The reversal of 10003321331031 is 13013312330001.

It is not a de Polignac number, because 10003321331031 - 2¹¹ = 10003321328983 is a prime.

It is a super-2 number, since 2×10003321331031² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10003321330989 and 10003321331007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003321331021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88781565 + ... + 88894166.

It is an arithmetic number, because the mean of its divisors is an integer number (648161070336).

Almost surely, 2^{10003321331031} is an apocalyptic number.

10003321331031 is a deficient number, since it is larger than the sum of its proper divisors (5552544357033).

10003321331031 is a wasteful number, since it uses less digits than its factorization.

10003321331031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177676131 (or 177676124 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10003321331031 its reverse (13013312330001), we get a palindrome (23016633661032).

The spelling of 10003321331031 in words is "ten trillion, three billion, three hundred twenty-one million, three hundred thirty-one thousand, thirty-one".