1003312211121 has 16 divisors (see below), whose sum is σ = 1621514685120. Its totient is φ = 608068006560.

The previous prime is 1003312211089. The next prime is 1003312211123. The reversal of 1003312211121 is 1211122133001.

1003312211121 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 2 + 211 + 121 = 666.

It is not a de Polignac number, because 1003312211121 - 2⁵ = 1003312211089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003312211094 and 1003312211103.

It is not an unprimeable number, because it can be changed into a prime (1003312211123) 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, 1689077500 + ... + 1689078093.

It is an arithmetic number, because the mean of its divisors is an integer number (101344667820).

Almost surely, 2^{1003312211121} is an apocalyptic number.

1003312211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003312211121 is a deficient number, since it is larger than the sum of its proper divisors (618202473999).

1003312211121 is a wasteful number, since it uses less digits than its factorization.

1003312211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378155613 (or 3378155607 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1003312211121 its reverse (1211122133001), we get a palindrome (2214434344122).

The spelling of 1003312211121 in words is "one trillion, three billion, three hundred twelve million, two hundred eleven thousand, one hundred twenty-one".