201303313021120 has 896 divisors, whose sum is σ = 529551295764480. Its totient is φ = 72680698675200.

The previous prime is 201303313021039. The next prime is 201303313021147. The reversal of 201303313021120 is 21120313303102.

201303313021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201303313021091 and 201303313021100.

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, 326261447052 + ... + 326261447668.

Almost surely, 2^{201303313021120} is an apocalyptic number.

201303313021120 is a gapful number since it is divisible by the number (20) 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 201303313021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264775647882240).

201303313021120 is an abundant number, since it is smaller than the sum of its proper divisors (328247982743360).

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

201303313021120 is a wasteful number, since it uses less digits than its factorization.

201303313021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 201303313021120 its reverse (21120313303102), we get a palindrome (222423626324222).

The spelling of 201303313021120 in words is "two hundred one trillion, three hundred three billion, three hundred thirteen million, twenty-one thousand, one hundred twenty".