1311032101001 has 16 divisors (see below), whose sum is σ = 1595629321344. Its totient is φ = 1051525803264.

The previous prime is 1311032100997. The next prime is 1311032101019. The reversal of 1311032101001 is 1001012301131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1311032101001 - 2² = 1311032100997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311032103001) 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 15 ways as a sum of consecutive naturals, for example, 31820675 + ... + 31861848.

It is an arithmetic number, because the mean of its divisors is an integer number (99726832584).

Almost surely, 2^{1311032101001} is an apocalyptic number.

It is an amenable number.

1311032101001 is a deficient number, since it is larger than the sum of its proper divisors (284597220343).

1311032101001 is a wasteful number, since it uses less digits than its factorization.

1311032101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63682720.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1311032101001 its reverse (1001012301131), we get a palindrome (2312044402132).

The spelling of 1311032101001 in words is "one trillion, three hundred eleven billion, thirty-two million, one hundred one thousand, one".