131111020201000 has 512 divisors, whose sum is σ = 380476065715200. Its totient is φ = 41258004480000.

The previous prime is 131111020200971. The next prime is 131111020201043. The reversal of 131111020201000 is 102020111131.

It is a happy number.

131111020201000 is digitally balanced in base 3, because in such base 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 127 ways as a sum of consecutive naturals, for example, 14934614611 + ... + 14934623389.

It is an arithmetic number, because the mean of its divisors is an integer number (743117315850).

Almost surely, 2^{131111020201000} is an apocalyptic number.

131111020201000 is a gapful number since it is divisible by the number (10) 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 131111020201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190238032857600).

131111020201000 is an abundant number, since it is smaller than the sum of its proper divisors (249365045514200).

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

131111020201000 is a wasteful number, since it uses less digits than its factorization.

131111020201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11926 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 131111020201000 its reverse (102020111131), we get a palindrome (131213040312131).

The spelling of 131111020201000 in words is "one hundred thirty-one trillion, one hundred eleven billion, twenty million, two hundred one thousand".