1331211211000 has 128 divisors (see below), whose sum is σ = 3413464104960. Its totient is φ = 481905168000.

The previous prime is 1331211210983. The next prime is 1331211211007. The reversal of 1331211211000 is 1121121331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331211211007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181657 + ... + 2724343.

It is an arithmetic number, because the mean of its divisors is an integer number (26667688320).

Almost surely, 2^{1331211211000} is an apocalyptic number.

1331211211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331211211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706732052480).

1331211211000 is an abundant number, since it is smaller than the sum of its proper divisors (2082252893960).

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

1331211211000 is a wasteful number, since it uses less digits than its factorization.

1331211211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542942 (or 542928 counting only the distinct ones).

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

Adding to 1331211211000 its reverse (1121121331), we get a palindrome (1332332332331).

The spelling of 1331211211000 in words is "one trillion, three hundred thirty-one billion, two hundred eleven million, two hundred eleven thousand".