10001001132031 has 24 divisors (see below), whose sum is σ = 12620177362800. Its totient is φ = 7855121699712.

The previous prime is 10001001132013. The next prime is 10001001132077. The reversal of 10001001132031 is 13023110010001.

It is not a de Polignac number, because 10001001132031 - 2³⁹ = 9451245318143 is a prime.

It is a super-2 number, since 2×10001001132031² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001132631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57212581 + ... + 57387118.

It is an arithmetic number, because the mean of its divisors is an integer number (525840723450).

Almost surely, 2^{10001001132031} is an apocalyptic number.

10001001132031 is a deficient number, since it is larger than the sum of its proper divisors (2619176230769).

10001001132031 is a wasteful number, since it uses less digits than its factorization.

10001001132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114599863 (or 114599856 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10001001132031 its reverse (13023110010001), we get a palindrome (23024111142032).

The spelling of 10001001132031 in words is "ten trillion, one billion, one million, one hundred thirty-two thousand, thirty-one".