213093517231296 has 896 divisors, whose sum is σ = 712424401920000. Its totient is φ = 62374670991360.

The previous prime is 213093517231267. The next prime is 213093517231333. The reversal of 213093517231296 is 692132715390312.

213093517231296 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 9 + 3 + 517 + 2 + 31 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6943629520 + ... + 6943660208.

It is an arithmetic number, because the mean of its divisors is an integer number (795116520000).

Almost surely, 2^{213093517231296} is an apocalyptic number.

213093517231296 is a gapful number since it is divisible by the number (26) 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 213093517231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356212200960000).

213093517231296 is an abundant number, since it is smaller than the sum of its proper divisors (499330884688704).

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

213093517231296 is a wasteful number, since it uses less digits than its factorization.

213093517231296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30839 (or 30797 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 213093517231296 in words is "two hundred thirteen trillion, ninety-three billion, five hundred seventeen million, two hundred thirty-one thousand, two hundred ninety-six".