1001113144431 has 32 divisors (see below), whose sum is σ = 1391861200896. Its totient is φ = 639327120000.

The previous prime is 1001113144417. The next prime is 1001113144439. The reversal of 1001113144431 is 1344413111001.

It is not a de Polignac number, because 1001113144431 - 2⁵ = 1001113144399 is a prime.

It is a super-2 number, since 2×1001113144431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001113144439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47151640 + ... + 47172866.

It is an arithmetic number, because the mean of its divisors is an integer number (43495662528).

Almost surely, 2^{1001113144431} is an apocalyptic number.

1001113144431 is a deficient number, since it is larger than the sum of its proper divisors (390748056465).

1001113144431 is a wasteful number, since it uses less digits than its factorization.

1001113144431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26383.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1001113144431 its reverse (1344413111001), we get a palindrome (2345526255432).

The spelling of 1001113144431 in words is "one trillion, one billion, one hundred thirteen million, one hundred forty-four thousand, four hundred thirty-one".