201131331302000 has 160 divisors (see below), whose sum is σ = 530788840268544. Its totient is φ = 73105448736000.

The previous prime is 201131331301987. The next prime is 201131331302021. The reversal of 201131331302000 is 203133131102.

201131331302000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 46391027 + ... + 50540973.

Almost surely, 2^{201131331302000} is an apocalyptic number.

201131331302000 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 201131331302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265394420134272).

201131331302000 is an abundant number, since it is smaller than the sum of its proper divisors (329657508966544).

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

201131331302000 is a wasteful number, since it uses less digits than its factorization.

201131331302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152184 (or 4152168 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 201131331302000 its reverse (203133131102), we get a palindrome (201334464433102).

The spelling of 201131331302000 in words is "two hundred one trillion, one hundred thirty-one billion, three hundred thirty-one million, three hundred two thousand".