201131002020 has 96 divisors (see below), whose sum is σ = 607869884160. Its totient is φ = 49396308480.

The previous prime is 201131002013. The next prime is 201131002027. The reversal of 201131002020 is 20200131102.

It is an interprime number because it is at equal distance from previous prime (201131002013) and next prime (201131002027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201131001987 and 201131002005.

It is not an unprimeable number, because it can be changed into a prime (201131002027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48730 + ... + 636110.

It is an arithmetic number, because the mean of its divisors is an integer number (6331977960).

Almost surely, 2^201131002020 is an apocalyptic number.

201131002020 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 201131002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303934942080).

201131002020 is an abundant number, since it is smaller than the sum of its proper divisors (406738882140).

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

201131002020 is a wasteful number, since it uses less digits than its factorization.

201131002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587845 (or 587843 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201131002020 its reverse (20200131102), we get a palindrome (221331133122).

The spelling of 201131002020 in words is "two hundred one billion, one hundred thirty-one million, two thousand, twenty".