1100013101031 has 8 divisors (see below), whose sum is σ = 1579505991280. Its totient is φ = 676931139072.

The previous prime is 1100013100987. The next prime is 1100013101039. The reversal of 1100013101031 is 1301013100011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1100013101031 - 2⁹ = 1100013100519 is a prime.

It is a super-2 number, since 2×1100013101031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100013100998 and 1100013101016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100013101039) 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 7 ways as a sum of consecutive naturals, for example, 14102732026 + ... + 14102732103.

It is an arithmetic number, because the mean of its divisors is an integer number (197438248910).

Almost surely, 2^{1100013101031} is an apocalyptic number.

1100013101031 is a deficient number, since it is larger than the sum of its proper divisors (479492890249).

1100013101031 is a wasteful number, since it uses less digits than its factorization.

1100013101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28205464145.

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

Adding to 1100013101031 its reverse (1301013100011), we get a palindrome (2401026201042).

The spelling of 1100013101031 in words is "one trillion, one hundred billion, thirteen million, one hundred one thousand, thirty-one".