201331310203122 has 64 divisors (see below), whose sum is σ = 445555406757888. Its totient is φ = 60136667136000.

The previous prime is 201331310203103. The next prime is 201331310203187. The reversal of 201331310203122 is 221302013133102.

It is a junction number, because it is equal to n+sod(n) for n = 201331310203092 and 201331310203101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16007922 + ... + 25669362.

It is an arithmetic number, because the mean of its divisors is an integer number (6961803230592).

Almost surely, 2^{201331310203122} is an apocalyptic number.

201331310203122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201331310203122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222777703378944).

201331310203122 is an abundant number, since it is smaller than the sum of its proper divisors (244224096554766).

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

201331310203122 is a wasteful number, since it uses less digits than its factorization.

201331310203122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9665975.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 201331310203122 its reverse (221302013133102), we get a palindrome (422633323336224).

The spelling of 201331310203122 in words is "two hundred one trillion, three hundred thirty-one billion, three hundred ten million, two hundred three thousand, one hundred twenty-two".