11003121312 has 48 divisors (see below), whose sum is σ = 30403366560. Its totient is φ = 3474669312.

The previous prime is 11003121277. The next prime is 11003121313. The reversal of 11003121312 is 21312130011.

It is a happy number.

11003121312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11003121291 and 11003121300.

It is not an unprimeable number, because it can be changed into a prime (11003121313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3014383 + ... + 3018030.

It is an arithmetic number, because the mean of its divisors is an integer number (633403470).

Almost surely, 2^11003121312 is an apocalyptic number.

11003121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11003121312 is an abundant number, since it is smaller than the sum of its proper divisors (19400245248).

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

11003121312 is a wasteful number, since it uses less digits than its factorization.

11003121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032445 (or 6032437 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11003121312 its reverse (21312130011), we get a palindrome (32315251323).

The spelling of 11003121312 in words is "eleven billion, three million, one hundred twenty-one thousand, three hundred twelve".