1213405320330 has 256 divisors, whose sum is σ = 3890363904000. Its totient is φ = 263246554368.

The previous prime is 1213405320289. The next prime is 1213405320331. The reversal of 1213405320330 is 330235043121.

1213405320330 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 0 + 5 + 320 + 330 = 666.

It is a super-4 number, since 4×1213405320330⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1213405320294 and 1213405320303.

It is not an unprimeable number, because it can be changed into a prime (1213405320331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3046177 + ... + 3421403.

It is an arithmetic number, because the mean of its divisors is an integer number (15196734000).

Almost surely, 2^{1213405320330} is an apocalyptic number.

1213405320330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213405320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945181952000).

1213405320330 is an abundant number, since it is smaller than the sum of its proper divisors (2676958583670).

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

1213405320330 is a wasteful number, since it uses less digits than its factorization.

1213405320330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375338 (or 375332 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 1213405320330 in words is "one trillion, two hundred thirteen billion, four hundred five million, three hundred twenty thousand, three hundred thirty".