11331131011002 has 192 divisors, whose sum is σ = 27965388672000. Its totient is φ = 3372758222400.

The previous prime is 11331131010971. The next prime is 11331131011027. The reversal of 11331131011002 is 20011013113311.

11331131011002 is a `hidden beast` number, since 11 + 331 + 1 + 310 + 1 + 10 + 0 + 2 = 666.

It is a super-3 number, since 3×11331131011002³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1827893499 + ... + 1827899697.

It is an arithmetic number, because the mean of its divisors is an integer number (145653066000).

Almost surely, 2^{11331131011002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331131011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982694336000).

11331131011002 is an abundant number, since it is smaller than the sum of its proper divisors (16634257660998).

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

11331131011002 is a wasteful number, since it uses less digits than its factorization.

11331131011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11331131011002 its reverse (20011013113311), we get a palindrome (31342144124313).

The spelling of 11331131011002 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, eleven thousand, two".