111331011001 has 20 divisors (see below), whose sum is σ = 132007780004. Its totient is φ = 93862087200.

The previous prime is 111331010981. The next prime is 111331011007. The reversal of 111331011001 is 100110133111.

It can be written as a sum of positive squares in 2 ways, for example, as 31533235776 + 79797775225 = 177576^2 + 282485^2 .

It is not a de Polignac number, because 111331011001 - 2³³ = 102741076409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111331011007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 233610 + ... + 526531.

Almost surely, 2^111331011001 is an apocalyptic number.

It is an amenable number.

111331011001 is a deficient number, since it is larger than the sum of its proper divisors (20676769003).

111331011001 is an frugal number, since it uses more digits than its factorization.

111331011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760230 (or 760209 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 111331011001 its reverse (100110133111), we get a palindrome (211441144112).

The spelling of 111331011001 in words is "one hundred eleven billion, three hundred thirty-one million, eleven thousand, one".