210202431131120 has 80 divisors (see below), whose sum is σ = 493593987828960. Its totient is φ = 83243523597312.

The previous prime is 210202431131053. The next prime is 210202431131129. The reversal of 210202431131120 is 21131134202012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210202431131129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6195266 + ... + 21419294.

It is an arithmetic number, because the mean of its divisors is an integer number (6169924847862).

Almost surely, 2^{210202431131120} is an apocalyptic number.

210202431131120 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 210202431131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246796993914480).

210202431131120 is an abundant number, since it is smaller than the sum of its proper divisors (283391556697840).

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

210202431131120 is a wasteful number, since it uses less digits than its factorization.

210202431131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15225762 (or 15225756 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 210202431131120 its reverse (21131134202012), we get a palindrome (231333565333132).

The spelling of 210202431131120 in words is "two hundred ten trillion, two hundred two billion, four hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty".