213201141102312 has 384 divisors, whose sum is σ = 606654650407680. Its totient is φ = 62364730982400.

The previous prime is 213201141102311. The next prime is 213201141102337.

213201141102312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213201141102311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2061994488 + ... + 2062097880.

It is an arithmetic number, because the mean of its divisors is an integer number (1579829818770).

Almost surely, 2^{213201141102312} is an apocalyptic number.

213201141102312 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 213201141102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303327325203840).

213201141102312 is an abundant number, since it is smaller than the sum of its proper divisors (393453509305368).

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

213201141102312 is a wasteful number, since it uses less digits than its factorization.

213201141102312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103705 (or 103690 counting only the distinct ones).

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

The spelling of 213201141102312 in words is "two hundred thirteen trillion, two hundred one billion, one hundred forty-one million, one hundred two thousand, three hundred twelve".