1001201132113 has 64 divisors (see below), whose sum is σ = 1306717171200. Its totient is φ = 744918405120.

The previous prime is 1001201132089. The next prime is 1001201132119. The reversal of 1001201132113 is 3112311021001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001201132113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001201132119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212071593 + ... + 212076313.

It is an arithmetic number, because the mean of its divisors is an integer number (20417455800).

Almost surely, 2^{1001201132113} is an apocalyptic number.

1001201132113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001201132113 is a deficient number, since it is larger than the sum of its proper divisors (305516039087).

1001201132113 is a wasteful number, since it uses less digits than its factorization.

1001201132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1001201132113 its reverse (3112311021001), we get a palindrome (4113512153114).

The spelling of 1001201132113 in words is "one trillion, one billion, two hundred one million, one hundred thirty-two thousand, one hundred thirteen".