1003111321121 has 16 divisors (see below), whose sum is σ = 1253025400704. Its totient is φ = 781824662784.

The previous prime is 1003111321109. The next prime is 1003111321139. The reversal of 1003111321121 is 1211231113001.

It is a cyclic number.

It is not a de Polignac number, because 1003111321121 - 2¹⁴ = 1003111304737 is a prime.

It is a super-2 number, since 2×1003111321121² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1003111321121.

It is not an unprimeable number, because it can be changed into a prime (1003111321621) 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, 82256600 + ... + 82268793.

It is an arithmetic number, because the mean of its divisors is an integer number (78314087544).

Almost surely, 2^{1003111321121} is an apocalyptic number.

It is an amenable number.

1003111321121 is a deficient number, since it is larger than the sum of its proper divisors (249914079583).

1003111321121 is a wasteful number, since it uses less digits than its factorization.

1003111321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164525480.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1003111321121 its reverse (1211231113001), we get a palindrome (2214342434122).

The spelling of 1003111321121 in words is "one trillion, three billion, one hundred eleven million, three hundred twenty-one thousand, one hundred twenty-one".