341323413113100 has 288 divisors, whose sum is σ = 1078957149322752. Its totient is φ = 82620979200000.

The previous prime is 341323413113099. The next prime is 341323413113119. The reversal of 341323413113100 is 1311314323143.

It is a happy number.

It is a super-2 number, since 2×341323413113100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12627096585 + ... + 12627123615.

It is an arithmetic number, because the mean of its divisors is an integer number (3746378990704).

Almost surely, 2^{341323413113100} is an apocalyptic number.

341323413113100 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 341323413113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539478574661376).

341323413113100 is an abundant number, since it is smaller than the sum of its proper divisors (737633736209652).

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

341323413113100 is a wasteful number, since it uses less digits than its factorization.

341323413113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32657 (or 32650 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 341323413113100 its reverse (1311314323143), we get a palindrome (342634727436243).

The spelling of 341323413113100 in words is "three hundred forty-one trillion, three hundred twenty-three billion, four hundred thirteen million, one hundred thirteen thousand, one hundred".