1213311111300 has 216 divisors, whose sum is σ = 3850695805320. Its totient is φ = 319513344000.

The previous prime is 1213311111293. The next prime is 1213311111361. The reversal of 1213311111300 is 31111133121.

1213311111300 is a `hidden beast` number, since 1 + 21 + 331 + 1 + 1 + 11 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 261644526144 + 951666585156 = 511512^2 + 975534^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35342944 + ... + 35377256.

It is an arithmetic number, because the mean of its divisors is an integer number (17827295395).

Almost surely, 2^{1213311111300} is an apocalyptic number.

1213311111300 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 1213311111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925347902660).

1213311111300 is an abundant number, since it is smaller than the sum of its proper divisors (2637384694020).

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

1213311111300 is a wasteful number, since it uses less digits than its factorization.

1213311111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34823 (or 34813 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1213311111300 its reverse (31111133121), we get a palindrome (1244422244421).

The spelling of 1213311111300 in words is "one trillion, two hundred thirteen billion, three hundred eleven million, one hundred eleven thousand, three hundred".