213334132113120 has 192 divisors, whose sum is σ = 719360411616000. Its totient is φ = 52981464969216.

The previous prime is 213334132113031. The next prime is 213334132113163. The reversal of 213334132113120 is 21311231433312.

It is a super-2 number, since 2×213334132113120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197698365 + ... + 198774524.

It is an arithmetic number, because the mean of its divisors is an integer number (3746668810500).

Almost surely, 2^{213334132113120} is an apocalyptic number.

213334132113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213334132113120 is an abundant number, since it is smaller than the sum of its proper divisors (506026279502880).

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

213334132113120 is a wasteful number, since it uses less digits than its factorization.

213334132113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396472985 (or 396472977 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 213334132113120 its reverse (21311231433312), we get a palindrome (234645363546432).

The spelling of 213334132113120 in words is "two hundred thirteen trillion, three hundred thirty-four billion, one hundred thirty-two million, one hundred thirteen thousand, one hundred twenty".