1213513200 has 180 divisors, whose sum is σ = 4225832208. Its totient is φ = 322483200.

The previous prime is 1213513183. The next prime is 1213513211. The reversal of 1213513200 is 23153121.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1213513200² = 2945228573148480000, which contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1875277 + ... + 1875923.

Almost surely, 2^1213513200 is an apocalyptic number.

1213513200 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 1213513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112916104).

1213513200 is an abundant number, since it is smaller than the sum of its proper divisors (3012319008).

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

1213513200 is a wasteful number, since it uses less digits than its factorization.

1213513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1213513200 is about 34835.5163590265. The cubic root of 1213513200 is about 1066.6325553328.

Adding to 1213513200 its reverse (23153121), we get a palindrome (1236666321).

The spelling of 1213513200 in words is "one billion, two hundred thirteen million, five hundred thirteen thousand, two hundred".