3100413334144 has 128 divisors (see below), whose sum is σ = 7245781931520. Its totient is φ = 1293872455680.

The previous prime is 3100413334141. The next prime is 3100413334147. The reversal of 3100413334144 is 4414333140013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3100413334141) and next prime (3100413334147).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3100413334144² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3100413334141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8109204 + ... + 8482924.

It is an arithmetic number, because the mean of its divisors is an integer number (56607671340).

Almost surely, 2^{3100413334144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100413334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622890965760).

3100413334144 is an abundant number, since it is smaller than the sum of its proper divisors (4145368597376).

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

3100413334144 is a wasteful number, since it uses less digits than its factorization.

3100413334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373986 (or 373974 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 3100413334144 its reverse (4414333140013), we get a palindrome (7514746474157).

The spelling of 3100413334144 in words is "three trillion, one hundred billion, four hundred thirteen million, three hundred thirty-four thousand, one hundred forty-four".