11111011000032 has 96 divisors (see below), whose sum is σ = 30933435133440. Its totient is φ = 3484565061120.

The previous prime is 11111011000031. The next prime is 11111011000139. The reversal of 11111011000032 is 23000011011111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11111010999981 and 11111011000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111011000031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41112532 + ... + 41381907.

It is an arithmetic number, because the mean of its divisors is an integer number (322223282640).

Almost surely, 2^{11111011000032} is an apocalyptic number.

11111011000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11111011000032 is an abundant number, since it is smaller than the sum of its proper divisors (19822424133408).

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

11111011000032 is a wasteful number, since it uses less digits than its factorization.

11111011000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82494536 (or 82494528 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11111011000032 its reverse (23000011011111), we get a palindrome (34111022011143).

The spelling of 11111011000032 in words is "eleven trillion, one hundred eleven billion, eleven million, thirty-two", and thus it is an aban number.