1331332101001 has 8 divisors (see below), whose sum is σ = 1601602527680. Its totient is φ = 1081081705968.

The previous prime is 1331332100957. The next prime is 1331332101059. The reversal of 1331332101001 is 1001012331331.

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 1331332101001 - 2⁷ = 1331332100873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1331332101001.

It is not an unprimeable number, because it can be changed into a prime (1331332101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5005007766 + ... + 5005008031.

It is an arithmetic number, because the mean of its divisors is an integer number (200200315960).

Almost surely, 2^{1331332101001} is an apocalyptic number.

It is an amenable number.

1331332101001 is a deficient number, since it is larger than the sum of its proper divisors (270270426679).

1331332101001 is a wasteful number, since it uses less digits than its factorization.

1331332101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010015823.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1331332101001 its reverse (1001012331331), we get a palindrome (2332344432332).

The spelling of 1331332101001 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-two million, one hundred one thousand, one".