213031130312 has 384 divisors, whose sum is σ = 556983060480. Its totient is φ = 75075840000.

The previous prime is 213031130309. The next prime is 213031130321.

213031130312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1081376198 + ... + 1081376394.

It is an arithmetic number, because the mean of its divisors is an integer number (1450476720).

Almost surely, 2^213031130312 is an apocalyptic number.

213031130312 is a gapful number since it is divisible by the number (22) 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 213031130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278491530240).

213031130312 is an abundant number, since it is smaller than the sum of its proper divisors (343951930168).

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

213031130312 is a wasteful number, since it uses less digits than its factorization.

213031130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 213031 and 130312, that added together give a palindrome (343343).

The spelling of 213031130312 in words is "two hundred thirteen billion, thirty-one million, one hundred thirty thousand, three hundred twelve".