213002231312 has 80 divisors (see below), whose sum is σ = 460341630000. Its totient is φ = 94799265792.

The previous prime is 213002231297. The next prime is 213002231333. The reversal of 213002231312 is 213132200312.

It can be written as a sum of positive squares in 8 ways, for example, as 226683136 + 212775548176 = 15056^2 + 461276^2 .

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, 4858064 + ... + 4901712.

It is an arithmetic number, because the mean of its divisors is an integer number (5754270375).

Almost surely, 2^213002231312 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 213002231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230170815000).

213002231312 is an abundant number, since it is smaller than the sum of its proper divisors (247339398688).

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

213002231312 is a wasteful number, since it uses less digits than its factorization.

213002231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44508 (or 44502 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213002231312 its reverse (213132200312), we get a palindrome (426134431624).

The spelling of 213002231312 in words is "two hundred thirteen billion, two million, two hundred thirty-one thousand, three hundred twelve".