1331313121110 has 128 divisors (see below), whose sum is σ = 3682757145600. Its totient is φ = 301711256064.

The previous prime is 1331313121109. The next prime is 1331313121133. The reversal of 1331313121110 is 111213131331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17390337 + ... + 17466723.

It is an arithmetic number, because the mean of its divisors is an integer number (28771540200).

Almost surely, 2^{1331313121110} is an apocalyptic number.

1331313121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331313121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841378572800).

1331313121110 is an abundant number, since it is smaller than the sum of its proper divisors (2351444024490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331313121110 is a wasteful number, since it uses less digits than its factorization.

1331313121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77110.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 1331313121110 its reverse (111213131331), we get a palindrome (1442526252441).

The spelling of 1331313121110 in words is "one trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred ten".