1001130033321 has 40 divisors (see below), whose sum is σ = 1645909128864. Its totient is φ = 601375985280.

The previous prime is 1001130033313. The next prime is 1001130033347. The reversal of 1001130033321 is 1233300311001.

It is a happy number.

1001130033321 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 300 + 33 + 321 = 666.

It is not a de Polignac number, because 1001130033321 - 2³ = 1001130033313 is a prime.

It is a super-2 number, since 2×1001130033321² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001130033294 and 1001130033303.

It is not an unprimeable number, because it can be changed into a prime (1001130013321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4871011 + ... + 5072376.

Almost surely, 2^{1001130033321} is an apocalyptic number.

1001130033321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001130033321 is a deficient number, since it is larger than the sum of its proper divisors (644779095543).

1001130033321 is a wasteful number, since it uses less digits than its factorization.

1001130033321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943523 (or 9943514 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1001130033321 its reverse (1233300311001), we get a palindrome (2234430344322).

The spelling of 1001130033321 in words is "one trillion, one billion, one hundred thirty million, thirty-three thousand, three hundred twenty-one".