1331101104001 has 16 divisors (see below), whose sum is σ = 1379696313600. Its totient is φ = 1282686971328.

The previous prime is 1331101103987. The next prime is 1331101104013. The reversal of 1331101104001 is 1004011011331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1331101104001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331101104041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64111260 + ... + 64132018.

It is an arithmetic number, because the mean of its divisors is an integer number (86231019600).

Almost surely, 2^{1331101104001} is an apocalyptic number.

It is an amenable number.

1331101104001 is a deficient number, since it is larger than the sum of its proper divisors (48595209599).

1331101104001 is a wasteful number, since it uses less digits than its factorization.

1331101104001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25008.

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

Adding to 1331101104001 its reverse (1004011011331), we get a palindrome (2335112115332).

The spelling of 1331101104001 in words is "one trillion, three hundred thirty-one billion, one hundred one million, one hundred four thousand, one".