1001031101103 has 16 divisors (see below), whose sum is σ = 1476552920832. Its totient is φ = 598140648000.

The previous prime is 1001031101047. The next prime is 1001031101171. The reversal of 1001031101103 is 3011011301001.

1001031101103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001031101103 - 2¹⁸ = 1001030838959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001031301103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213619318 + ... + 213624003.

It is an arithmetic number, because the mean of its divisors is an integer number (92284557552).

Almost surely, 2^{1001031101103} is an apocalyptic number.

1001031101103 is a deficient number, since it is larger than the sum of its proper divisors (475521819729).

1001031101103 is a wasteful number, since it uses less digits than its factorization.

1001031101103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427243406.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1001031101103 its reverse (3011011301001), we get a palindrome (4012042402104).

It can be divided in two parts, 10010 and 31101103, that added together give a palindrome (31111113).

The spelling of 1001031101103 in words is "one trillion, one billion, thirty-one million, one hundred one thousand, one hundred three".