201431023120 has 80 divisors (see below), whose sum is σ = 476836252848. Its totient is φ = 79113093120.

The previous prime is 201431023117. The next prime is 201431023139. The reversal of 201431023120 is 21320134102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1217730816 + 200213292304 = 34896^2 + 447452^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2779992 + ... + 2851528.

Almost surely, 2^201431023120 is an apocalyptic number.

201431023120 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 201431023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238418126424).

201431023120 is an abundant number, since it is smaller than the sum of its proper divisors (275405229728).

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

201431023120 is a wasteful number, since it uses less digits than its factorization.

201431023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72188 (or 72182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 201431023120 its reverse (21320134102), we get a palindrome (222751157222).

The spelling of 201431023120 in words is "two hundred one billion, four hundred thirty-one million, twenty-three thousand, one hundred twenty".