11331131331001 has 8 divisors (see below), whose sum is σ = 11486437645160. Its totient is φ = 11175827323392.

The previous prime is 11331131330951. The next prime is 11331131331029. The reversal of 11331131331001 is 10013313113311.

11331131331001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3418612404601 + 7912518926400 = 1848949^2 + 2812920^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 11331131331001 - 2¹⁷ = 11331131199929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331131331041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10859485 + ... + 11857093.

It is an arithmetic number, because the mean of its divisors is an integer number (1435804705645).

Almost surely, 2^{11331131331001} is an apocalyptic number.

It is an amenable number.

11331131331001 is a deficient number, since it is larger than the sum of its proper divisors (155306314159).

11331131331001 is an equidigital number, since it uses as much as digits as its factorization.

11331131331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153275.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 11331131331001 its reverse (10013313113311), we get a palindrome (21344444444312).

The spelling of 11331131331001 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred thirty-one thousand, one".