201431032020 has 36 divisors (see below), whose sum is σ = 611007464340. Its totient is φ = 53714941824.

The previous prime is 201431032001. The next prime is 201431032027. The reversal of 201431032020 is 20230134102.

201431032020 is a `hidden beast` number, since 2 + 0 + 14 + 310 + 320 + 20 = 666.

201431032020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39063941316 + 162367090704 = 197646^2 + 402948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201431031984 and 201431032002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201431032027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559530465 + ... + 559530824.

It is an arithmetic number, because the mean of its divisors is an integer number (16972429565).

Almost surely, 2^201431032020 is an apocalyptic number.

201431032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201431032020 is an abundant number, since it is smaller than the sum of its proper divisors (409576432320).

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

201431032020 is a wasteful number, since it uses less digits than its factorization.

201431032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119061304 (or 1119061299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201431032020 its reverse (20230134102), we get a palindrome (221661166122).

The spelling of 201431032020 in words is "two hundred one billion, four hundred thirty-one million, thirty-two thousand, twenty".