213120100296 has 256 divisors, whose sum is σ = 670644576000. Its totient is φ = 62302556160.

The previous prime is 213120100289. The next prime is 213120100363. The reversal of 213120100296 is 692001021312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4230810 + ... + 4280886.

It is an arithmetic number, because the mean of its divisors is an integer number (2619705375).

Almost surely, 2^213120100296 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 213120100296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335322288000).

213120100296 is an abundant number, since it is smaller than the sum of its proper divisors (457524475704).

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

213120100296 is a wasteful number, since it uses less digits than its factorization.

213120100296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50189 (or 50179 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 213120100296 in words is "two hundred thirteen billion, one hundred twenty million, one hundred thousand, two hundred ninety-six".