1343211022100 has 144 divisors (see below), whose sum is σ = 2993967123840. Its totient is φ = 522917337600.

The previous prime is 1343211022067. The next prime is 1343211022117. The reversal of 1343211022100 is 12201123431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219010634 + ... + 219016766.

It is an arithmetic number, because the mean of its divisors is an integer number (20791438360).

Almost surely, 2^{1343211022100} is an apocalyptic number.

1343211022100 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 1343211022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496983561920).

1343211022100 is an abundant number, since it is smaller than the sum of its proper divisors (1650756101740).

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

1343211022100 is a wasteful number, since it uses less digits than its factorization.

1343211022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6610 (or 6603 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1343211022100 its reverse (12201123431), we get a palindrome (1355412145531).

The spelling of 1343211022100 in words is "one trillion, three hundred forty-three billion, two hundred eleven million, twenty-two thousand, one hundred".