1331310411211 has 16 divisors (see below), whose sum is σ = 1567741858560. Its totient is φ = 1117741868320.

The previous prime is 1331310411187. The next prime is 1331310411217. The reversal of 1331310411211 is 1121140131331.

It is not a de Polignac number, because 1331310411211 - 2²¹ = 1331308314059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331310411217) 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 15 ways as a sum of consecutive naturals, for example, 90718465 + ... + 90733138.

It is an arithmetic number, because the mean of its divisors is an integer number (97983866160).

Almost surely, 2^{1331310411211} is an apocalyptic number.

1331310411211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331310411211 is a deficient number, since it is larger than the sum of its proper divisors (236431447349).

1331310411211 is a wasteful number, since it uses less digits than its factorization.

1331310411211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181451666.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 1331310411211 its reverse (1121140131331), we get a palindrome (2452450542542).

The spelling of 1331310411211 in words is "one trillion, three hundred thirty-one billion, three hundred ten million, four hundred eleven thousand, two hundred eleven".