1001333022120 has 48 divisors (see below), whose sum is σ = 3254332323060. Its totient is φ = 267022139136.

The previous prime is 1001333022113. The next prime is 1001333022121. The reversal of 1001333022120 is 212203331001.

1001333022120 is a `hidden beast` number, since 100 + 13 + 330 + 221 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 965341620324 + 35991401796 = 982518^2 + 189714^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001333022093 and 1001333022102.

It is not an unprimeable number, because it can be changed into a prime (1001333022121) 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, 1390739949 + ... + 1390740668.

Almost surely, 2^{1001333022120} is an apocalyptic number.

1001333022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001333022120 is an abundant number, since it is smaller than the sum of its proper divisors (2252999300940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001333022120 is a wasteful number, since it uses less digits than its factorization.

1001333022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781480634 (or 2781480627 counting only the distinct ones).

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

Adding to 1001333022120 its reverse (212203331001), we get a palindrome (1213536353121).

The spelling of 1001333022120 in words is "one trillion, one billion, three hundred thirty-three million, twenty-two thousand, one hundred twenty".