210131404131012 has 384 divisors, whose sum is σ = 663594019845120. Its totient is φ = 50179368222720.

The previous prime is 210131404130867. The next prime is 210131404131053.

210131404131012 is nontrivially palindromic in base 10.

210131404131012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59412562 + ... + 62849942.

It is an arithmetic number, because the mean of its divisors is an integer number (1728109426680).

Almost surely, 2^{210131404131012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210131404131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331797009922560).

210131404131012 is an abundant number, since it is smaller than the sum of its proper divisors (453462615714108).

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

210131404131012 is a wasteful number, since it uses less digits than its factorization.

210131404131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437551 (or 3437549 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 21013140 and 4131012, that added together give a palindrome (25144152).

The spelling of 210131404131012 in words is "two hundred ten trillion, one hundred thirty-one billion, four hundred four million, one hundred thirty-one thousand, twelve".