10331302001328 has 1680 divisors, whose sum is σ = 41427513469440. Its totient is φ = 2430673090560.

The previous prime is 10331302001327. The next prime is 10331302001357. The reversal of 10331302001328 is 82310020313301.

10331302001328 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 130 + 200 + 1 + 328 = 666.

It is a super-2 number, since 2×10331302001328² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10331302001327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4317300100 + ... + 4317302492.

It is an arithmetic number, because the mean of its divisors is an integer number (24659234208).

Almost surely, 2^{10331302001328} is an apocalyptic number.

10331302001328 is a gapful number since it is divisible by the number (18) 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 10331302001328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20713756734720).

10331302001328 is an abundant number, since it is smaller than the sum of its proper divisors (31096211468112).

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

10331302001328 is a wasteful number, since it uses less digits than its factorization.

10331302001328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10331302001328 its reverse (82310020313301), we get a palindrome (92641322314629).

The spelling of 10331302001328 in words is "ten trillion, three hundred thirty-one billion, three hundred two million, one thousand, three hundred twenty-eight".