213451231327572 has 192 divisors, whose sum is σ = 593371716747264. Its totient is φ = 58435675706880.

The previous prime is 213451231327561. The next prime is 213451231327573. The reversal of 213451231327572 is 275723132154312.

213451231327572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213451231327572² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213451231327573) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1623421498 + ... + 1623552974.

It is an arithmetic number, because the mean of its divisors is an integer number (3090477691392).

Almost surely, 2^{213451231327572} 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 213451231327572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296685858373632).

213451231327572 is an abundant number, since it is smaller than the sum of its proper divisors (379920485419692).

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

213451231327572 is a wasteful number, since it uses less digits than its factorization.

213451231327572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137678 (or 137676 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The spelling of 213451231327572 in words is "two hundred thirteen trillion, four hundred fifty-one billion, two hundred thirty-one million, three hundred twenty-seven thousand, five hundred seventy-two".