3101241343200 has 2304 divisors, whose sum is σ = 14075819089920. Its totient is φ = 572313600000.

The previous prime is 3101241343157. The next prime is 3101241343253. The reversal of 3101241343200 is 23431421013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12355543075 + ... + 12355543325.

It is an arithmetic number, because the mean of its divisors is an integer number (6109296480).

Almost surely, 2^{3101241343200} is an apocalyptic number.

3101241343200 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 3101241343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037909544960).

3101241343200 is an abundant number, since it is smaller than the sum of its proper divisors (10974577746720).

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

3101241343200 is a wasteful number, since it uses less digits than its factorization.

3101241343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3101241343200 its reverse (23431421013), we get a palindrome (3124672764213).

The spelling of 3101241343200 in words is "three trillion, one hundred one billion, two hundred forty-one million, three hundred forty-three thousand, two hundred".