11331003112002 has 64 divisors (see below), whose sum is σ = 28777695171840. Its totient is φ = 3237368214528.

The previous prime is 11331003111947. The next prime is 11331003112003. The reversal of 11331003112002 is 20021130013311.

11331003112002 is a `hidden beast` number, since 1 + 1 + 331 + 0 + 0 + 311 + 20 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11331003112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22046818 + ... + 22554914.

It is an arithmetic number, because the mean of its divisors is an integer number (449651487060).

Almost surely, 2^{11331003112002} is an apocalyptic number.

11331003112002 is an abundant number, since it is smaller than the sum of its proper divisors (17446692059838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331003112002 is a wasteful number, since it uses less digits than its factorization.

11331003112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567112 (or 567106 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331003112002 its reverse (20021130013311), we get a palindrome (31352133125313).

The spelling of 11331003112002 in words is "eleven trillion, three hundred thirty-one billion, three million, one hundred twelve thousand, two".