201501333331104 has 384 divisors, whose sum is σ = 603342559733760. Its totient is φ = 58486405791744.

The previous prime is 201501333331099. The next prime is 201501333331127. The reversal of 201501333331104 is 401133333105102.

It is a happy number.

201501333331104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13022763112 + ... + 13022778584.

It is an arithmetic number, because the mean of its divisors is an integer number (1571204582640).

Almost surely, 2^{201501333331104} is an apocalyptic number.

201501333331104 is a gapful number since it is divisible by the number (24) 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 201501333331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301671279866880).

201501333331104 is an abundant number, since it is smaller than the sum of its proper divisors (401841226402656).

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

201501333331104 is a wasteful number, since it uses less digits than its factorization.

201501333331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25332 (or 25324 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 201501333331104 its reverse (401133333105102), we get a palindrome (602634666436206).

The spelling of 201501333331104 in words is "two hundred one trillion, five hundred one billion, three hundred thirty-three million, three hundred thirty-one thousand, one hundred four".