1213310400 has 168 divisors, whose sum is σ = 4215109680. Its totient is φ = 304496640.

The previous prime is 1213310393. The next prime is 1213310429. The reversal of 1213310400 is 40133121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1213310400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74166 + ... + 89034.

Almost surely, 2^1213310400 is an apocalyptic number.

1213310400 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 1213310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107554840).

1213310400 is an abundant number, since it is smaller than the sum of its proper divisors (3001799280).

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

1213310400 is a wasteful number, since it uses less digits than its factorization.

1213310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14911 (or 14896 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1213310400 is about 34832.6054150418. The cubic root of 1213310400 is about 1066.5731341598.

Adding to 1213310400 its reverse (40133121), we get a palindrome (1253443521).

The spelling of 1213310400 in words is "one billion, two hundred thirteen million, three hundred ten thousand, four hundred".