213203141302312 has 256 divisors, whose sum is σ = 471997666183680. Its totient is φ = 88412829696000.

The previous prime is 213203141302297. The next prime is 213203141302357.

213203141302312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213203141302312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33204036862 + ... + 33204043282.

It is an arithmetic number, because the mean of its divisors is an integer number (1843740883530).

Almost surely, 2^{213203141302312} 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 213203141302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235998833091840).

213203141302312 is an abundant number, since it is smaller than the sum of its proper divisors (258794524881368).

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

213203141302312 is a wasteful number, since it uses less digits than its factorization.

213203141302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 213203141302312 in words is "two hundred thirteen trillion, two hundred three billion, one hundred forty-one million, three hundred two thousand, three hundred twelve".