10224003410031 has 16 divisors (see below), whose sum is σ = 13695819688544. Its totient is φ = 6784147229184.

The previous prime is 10224003409969. The next prime is 10224003410041. The reversal of 10224003410031 is 13001430042201.

It is not a de Polignac number, because 10224003410031 - 2¹⁷ = 10224003278959 is a prime.

It is a super-3 number, since 3×10224003410031³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224003410041) 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 15 ways as a sum of consecutive naturals, for example, 5786590 + ... + 7343883.

It is an arithmetic number, because the mean of its divisors is an integer number (855988730534).

Almost surely, 2^{10224003410031} is an apocalyptic number.

10224003410031 is a deficient number, since it is larger than the sum of its proper divisors (3471816278513).

10224003410031 is a wasteful number, since it uses less digits than its factorization.

10224003410031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13131690.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10224003410031 its reverse (13001430042201), we get a palindrome (23225433452232).

The spelling of 10224003410031 in words is "ten trillion, two hundred twenty-four billion, three million, four hundred ten thousand, thirty-one".