11333011312032 has 48 divisors (see below), whose sum is σ = 30382115444352. Its totient is φ = 3697294469120.

The previous prime is 11333011312013. The next prime is 11333011312057. The reversal of 11333011312032 is 23021311033311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11333011311993 and 11333011312011.

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 7 ways as a sum of consecutive naturals, for example, 1255869969 + ... + 1255878992.

It is an arithmetic number, because the mean of its divisors is an integer number (632960738424).

Almost surely, 2^{11333011312032} is an apocalyptic number.

11333011312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11333011312032 is an abundant number, since it is smaller than the sum of its proper divisors (19049104132320).

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

11333011312032 is a wasteful number, since it uses less digits than its factorization.

11333011312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511749021 (or 2511749013 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11333011312032 its reverse (23021311033311), we get a palindrome (34354322345343).

The spelling of 11333011312032 in words is "eleven trillion, three hundred thirty-three billion, eleven million, three hundred twelve thousand, thirty-two".