104133010314320 has 320 divisors, whose sum is σ = 280047568933440. Its totient is φ = 35669497872384.

The previous prime is 104133010314283. The next prime is 104133010314329. The reversal of 104133010314320 is 23413010331401.

It can be written as a sum of positive squares in 32 ways, for example, as 62313404605456 + 41819605708864 = 7893884^2 + 6466808^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 104133010314320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104133010314329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371794172 + ... + 372074148.

It is an arithmetic number, because the mean of its divisors is an integer number (875148652917).

Almost surely, 2^{104133010314320} is an apocalyptic number.

104133010314320 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 104133010314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140023784466720).

104133010314320 is an abundant number, since it is smaller than the sum of its proper divisors (175914558619120).

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

104133010314320 is a wasteful number, since it uses less digits than its factorization.

104133010314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280322 (or 280316 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 104133010314320 its reverse (23413010331401), we get a palindrome (127546020645721).

The spelling of 104133010314320 in words is "one hundred four trillion, one hundred thirty-three billion, ten million, three hundred fourteen thousand, three hundred twenty".