213120021312 has 168 divisors, whose sum is σ = 684415366752. Its totient is φ = 62836300800.

The previous prime is 213120021287. The next prime is 213120021329.

213120021312 is a `hidden beast` number, since 2 + 131 + 200 + 21 + 312 = 666.

213120021312 is nontrivially palindromic in base 10.

213120021312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220114 + ... + 688977.

Almost surely, 2^213120021312 is an apocalyptic number.

213120021312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213120021312 is an abundant number, since it is smaller than the sum of its proper divisors (471295345440).

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

213120021312 is a wasteful number, since it uses less digits than its factorization.

213120021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909157 (or 909144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2131200 and 21312, that multiplied together give a square (45420134400 = 213120²).

The spelling of 213120021312 in words is "two hundred thirteen billion, one hundred twenty million, twenty-one thousand, three hundred twelve".