104032031314002 has 256 divisors, whose sum is σ = 247787701862400. Its totient is φ = 28778670144000.

The previous prime is 104032031313943. The next prime is 104032031314031. The reversal of 104032031314002 is 200413130230401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3092401102 + ... + 3092434742.

It is an arithmetic number, because the mean of its divisors is an integer number (967920710400).

Almost surely, 2^{104032031314002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104032031314002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123893850931200).

104032031314002 is an abundant number, since it is smaller than the sum of its proper divisors (143755670548398).

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

104032031314002 is a wasteful number, since it uses less digits than its factorization.

104032031314002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34533.

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

Adding to 104032031314002 its reverse (200413130230401), we get a palindrome (304445161544403).

The spelling of 104032031314002 in words is "one hundred four trillion, thirty-two billion, thirty-one million, three hundred fourteen thousand, two".