10031004121431 has 8 divisors (see below), whose sum is σ = 13512555380464. Its totient is φ = 6618394471680.

The previous prime is 10031004121429. The next prime is 10031004121433. The reversal of 10031004121431 is 13412140013001.

It is an interprime number because it is at equal distance from previous prime (10031004121429) and next prime (10031004121433).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10031004121431 - 2¹ = 10031004121429 is a prime.

It is a super-2 number, since 2×10031004121431² (a number of 27 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 = 10031004121398 and 10031004121407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031004121433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17235401980 + ... + 17235402561.

It is an arithmetic number, because the mean of its divisors is an integer number (1689069422558).

Almost surely, 2^{10031004121431} is an apocalyptic number.

10031004121431 is a deficient number, since it is larger than the sum of its proper divisors (3481551259033).

10031004121431 is an equidigital number, since it uses as much as digits as its factorization.

10031004121431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34470804641.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10031004121431 its reverse (13412140013001), we get a palindrome (23443144134432).

The spelling of 10031004121431 in words is "ten trillion, thirty-one billion, four million, one hundred twenty-one thousand, four hundred thirty-one".