10444103134031 has 48 divisors (see below), whose sum is σ = 12305050910208. Its totient is φ = 8838188352000.

The previous prime is 10444103134013. The next prime is 10444103134039. The reversal of 10444103134031 is 13043130144401.

It is a de Polignac number, because none of the positive numbers 2^k-10444103134031 is a prime.

It is a super-2 number, since 2×10444103134031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10444103133985 and 10444103134003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444103134039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973077941 + ... + 973088673.

It is an arithmetic number, because the mean of its divisors is an integer number (256355227296).

Almost surely, 2^{10444103134031} is an apocalyptic number.

10444103134031 is a deficient number, since it is larger than the sum of its proper divisors (1860947776177).

10444103134031 is a wasteful number, since it uses less digits than its factorization.

10444103134031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 11705 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 10444103134031 its reverse (13043130144401), we get a palindrome (23487233278432).

The spelling of 10444103134031 in words is "ten trillion, four hundred forty-four billion, one hundred three million, one hundred thirty-four thousand, thirty-one".