1331312001101 has 4 divisors (see below), whose sum is σ = 1409624471772. Its totient is φ = 1252999530432.

The previous prime is 1331312001043. The next prime is 1331312001137. The reversal of 1331312001101 is 1011002131331.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 637164747076 + 694147254025 = 798226^2 + 833155^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331312001101 - 2⁶ = 1331312001037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 78312470653 = 1331312001101 / (1 + 3 + 3 + 1 + 3 + 1 + 2 + 0 + 0 + 1 + 1 + 0 + 1).

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 1331312001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331312001301) 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 3 ways as a sum of consecutive naturals, for example, 39156235310 + ... + 39156235343.

It is an arithmetic number, because the mean of its divisors is an integer number (352406117943).

Almost surely, 2^{1331312001101} is an apocalyptic number.

It is an amenable number.

1331312001101 is a deficient number, since it is larger than the sum of its proper divisors (78312470671).

1331312001101 is an equidigital number, since it uses as much as digits as its factorization.

1331312001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78312470670.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1331312001101 its reverse (1011002131331), we get a palindrome (2342314132432).

The spelling of 1331312001101 in words is "one trillion, three hundred thirty-one billion, three hundred twelve million, one thousand, one hundred one".