341101003343100 has 1152 divisors, whose sum is σ = 1365296999399424. Its totient is φ = 63452367360000.

The previous prime is 341101003343071. The next prime is 341101003343161. The reversal of 341101003343100 is 1343300101143.

It is a super-2 number, since 2×341101003343100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3455502745 + ... + 3455601455.

It is an arithmetic number, because the mean of its divisors is an integer number (1185153645312).

Almost surely, 2^{341101003343100} is an apocalyptic number.

341101003343100 is a gapful number since it is divisible by the number (30) 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 341101003343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682648499699712).

341101003343100 is an abundant number, since it is smaller than the sum of its proper divisors (1024195996056324).

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

341101003343100 is a wasteful number, since it uses less digits than its factorization.

341101003343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99107 (or 99100 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 341101003343100 its reverse (1343300101143), we get a palindrome (342444303444243).

The spelling of 341101003343100 in words is "three hundred forty-one trillion, one hundred one billion, three million, three hundred forty-three thousand, one hundred".