1000331332121 has 32 divisors (see below), whose sum is σ = 1114270940160. Its totient is φ = 890466508800.

The previous prime is 1000331332103. The next prime is 1000331332141. The reversal of 1000331332121 is 1212331330001.

It is not a de Polignac number, because 1000331332121 - 2³⁰ = 999257590297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000331332093 and 1000331332102.

It is not an unprimeable number, because it can be changed into a prime (1000331332141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42123311 + ... + 42147051.

It is an arithmetic number, because the mean of its divisors is an integer number (34820966880).

Almost surely, 2^{1000331332121} is an apocalyptic number.

1000331332121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000331332121 is a deficient number, since it is larger than the sum of its proper divisors (113939608039).

1000331332121 is a wasteful number, since it uses less digits than its factorization.

1000331332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24257.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1000331332121 its reverse (1212331330001), we get a palindrome (2212662662122).

The spelling of 1000331332121 in words is "one trillion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty-one".