1000233221013 has 48 divisors (see below), whose sum is σ = 1574511644160. Its totient is φ = 608182324992.

The previous prime is 1000233220991. The next prime is 1000233221017. The reversal of 1000233221013 is 3101223320001.

It is not a de Polignac number, because 1000233221013 - 2¹⁰ = 1000233219989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000233221017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15034420 + ... + 15100802.

It is an arithmetic number, because the mean of its divisors is an integer number (32802325920).

Almost surely, 2^{1000233221013} is an apocalyptic number.

1000233221013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000233221013 is a deficient number, since it is larger than the sum of its proper divisors (574278423147).

1000233221013 is a wasteful number, since it uses less digits than its factorization.

1000233221013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67938 (or 67935 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1000233221013 its reverse (3101223320001), we get a palindrome (4101456541014).

The spelling of 1000233221013 in words is "one trillion, two hundred thirty-three million, two hundred twenty-one thousand, thirteen".