11331313101000 has 256 divisors, whose sum is σ = 40989795724800. Its totient is φ = 2890305792000.

The previous prime is 11331313100983. The next prime is 11331313101049. The reversal of 11331313101000 is 10131313311.

11331313101000 is a `hidden beast` number, since 1 + 1 + 331 + 313 + 10 + 10 + 0 + 0 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8502441 + ... + 9744440.

It is an arithmetic number, because the mean of its divisors is an integer number (160116389550).

Almost surely, 2^{11331313101000} is an apocalyptic number.

11331313101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331313101000 is an abundant number, since it is smaller than the sum of its proper divisors (29658482623800).

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

11331313101000 is a wasteful number, since it uses less digits than its factorization.

11331313101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18246934 (or 18246914 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11331313101000 its reverse (10131313311), we get a palindrome (11341444414311).

The spelling of 11331313101000 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred one thousand".