213242792312 has 64 divisors (see below), whose sum is σ = 453488716800. Its totient is φ = 93126816000.

The previous prime is 213242792251. The next prime is 213242792317. The reversal of 213242792312 is 213297242312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213242792317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98012 + ... + 660372.

It is an arithmetic number, because the mean of its divisors is an integer number (7085761200).

Almost surely, 2^213242792312 is an apocalyptic number.

213242792312 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 213242792312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226744358400).

213242792312 is an abundant number, since it is smaller than the sum of its proper divisors (240245924488).

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

213242792312 is a wasteful number, since it uses less digits than its factorization.

213242792312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562548 (or 562544 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The spelling of 213242792312 in words is "two hundred thirteen billion, two hundred forty-two million, seven hundred ninety-two thousand, three hundred twelve".