1001002232113 has 8 divisors (see below), whose sum is σ = 1078050254400. Its totient is φ = 923961045648.

The previous prime is 1001002232059. The next prime is 1001002232137. The reversal of 1001002232113 is 3112322001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001002232113 - 2²¹ = 1001000134961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001002232173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1402783 + ... + 1992436.

It is an arithmetic number, because the mean of its divisors is an integer number (134756281800).

Almost surely, 2^{1001002232113} is an apocalyptic number.

1001002232113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001002232113 is a deficient number, since it is larger than the sum of its proper divisors (77048022287).

1001002232113 is a wasteful number, since it uses less digits than its factorization.

1001002232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417911.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1001002232113 its reverse (3112322001001), we get a palindrome (4113324233114).

The spelling of 1001002232113 in words is "one trillion, one billion, two million, two hundred thirty-two thousand, one hundred thirteen".