320103232113000 has 2048 divisors, whose sum is σ = 1287135874252800. Its totient is φ = 64521160704000.

The previous prime is 320103232112927. The next prime is 320103232113089. The reversal of 320103232113000 is 311232301023.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 84975637117 + ... + 84975640883.

It is an arithmetic number, because the mean of its divisors is an integer number (628484313600).

Almost surely, 2^{320103232113000} is an apocalyptic number.

320103232113000 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 320103232113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643567937126400).

320103232113000 is an abundant number, since it is smaller than the sum of its proper divisors (967032642139800).

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

320103232113000 is a wasteful number, since it uses less digits than its factorization.

320103232113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 320103232113000 its reverse (311232301023), we get a palindrome (320414464414023).

The spelling of 320103232113000 in words is "three hundred twenty trillion, one hundred three billion, two hundred thirty-two million, one hundred thirteen thousand".