201032131020 has 192 divisors, whose sum is σ = 650946143232. Its totient is φ = 45407232000.

The previous prime is 201032131019. The next prime is 201032131031. The reversal of 201032131020 is 20131230102.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 13252240 + ... + 13267400.

It is an arithmetic number, because the mean of its divisors is an integer number (3390344496).

Almost surely, 2^201032131020 is an apocalyptic number.

201032131020 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 201032131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325473071616).

201032131020 is an abundant number, since it is smaller than the sum of its proper divisors (449914012212).

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

201032131020 is a wasteful number, since it uses less digits than its factorization.

201032131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15552 (or 15550 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201032131020 its reverse (20131230102), we get a palindrome (221163361122).

The spelling of 201032131020 in words is "two hundred one billion, thirty-two million, one hundred thirty-one thousand, twenty".