1001121301233 has 12 divisors (see below), whose sum is σ = 1481333958468. Its totient is φ = 651135805440.

The previous prime is 1001121301189. The next prime is 1001121301237. The reversal of 1001121301233 is 3321031211001.

1001121301233 is a `hidden beast` number, since 10 + 0 + 1 + 121 + 301 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65041831089 + 936079470144 = 255033^2 + 967512^2 .

It is not a de Polignac number, because 1001121301233 - 2⁹ = 1001121300721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001121301237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356532560 + ... + 1356533297.

It is an arithmetic number, because the mean of its divisors is an integer number (123444496539).

Almost surely, 2^{1001121301233} is an apocalyptic number.

It is an amenable number.

1001121301233 is a deficient number, since it is larger than the sum of its proper divisors (480212657235).

1001121301233 is a wasteful number, since it uses less digits than its factorization.

1001121301233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713065904 (or 2713065901 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001121301233 its reverse (3321031211001), we get a palindrome (4322152512234).

The spelling of 1001121301233 in words is "one trillion, one billion, one hundred twenty-one million, three hundred one thousand, two hundred thirty-three".