1213103200320 has 672 divisors, whose sum is σ = 4769473677696. Its totient is φ = 291033907200.

The previous prime is 1213103200289. The next prime is 1213103200339. The reversal of 1213103200320 is 230023013121.

1213103200320 is a `hidden beast` number, since 1 + 2 + 1 + 310 + 32 + 0 + 0 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1213103200293 and 1213103200302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82962610 + ... + 82977230.

It is an arithmetic number, because the mean of its divisors is an integer number (7097431068).

Almost surely, 2^{1213103200320} is an apocalyptic number.

1213103200320 is a gapful number since it is divisible by the number (10) 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 1213103200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384736838848).

1213103200320 is an abundant number, since it is smaller than the sum of its proper divisors (3556370477376).

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

1213103200320 is a wasteful number, since it uses less digits than its factorization.

1213103200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14761 (or 14739 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1213103200320 its reverse (230023013121), we get a palindrome (1443126213441).

The spelling of 1213103200320 in words is "one trillion, two hundred thirteen billion, one hundred three million, two hundred thousand, three hundred twenty".