1001041132431 has 16 divisors (see below), whose sum is σ = 1440778844160. Its totient is φ = 616333169760.

The previous prime is 1001041132369. The next prime is 1001041132439. The reversal of 1001041132431 is 1342311401001.

It is not a de Polignac number, because 1001041132431 - 2⁹ = 1001041131919 is a prime.

It is a super-2 number, since 2×1001041132431² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001041132398 and 1001041132407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001041132439) 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, 250133215 + ... + 250137216.

It is an arithmetic number, because the mean of its divisors is an integer number (90048677760).

Almost surely, 2^{1001041132431} is an apocalyptic number.

1001041132431 is a deficient number, since it is larger than the sum of its proper divisors (439737711729).

1001041132431 is a wasteful number, since it uses less digits than its factorization.

1001041132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500270486.

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

Adding to 1001041132431 its reverse (1342311401001), we get a palindrome (2343352533432).

The spelling of 1001041132431 in words is "one trillion, one billion, forty-one million, one hundred thirty-two thousand, four hundred thirty-one".