1213313310 has 128 divisors (see below), whose sum is σ = 3651609600. Its totient is φ = 283973760.

The previous prime is 1213313291. The next prime is 1213313317. The reversal of 1213313310 is 133133121.

It is a happy number.

1213313310 is a `hidden beast` number, since 1 + 2 + 1 + 331 + 331 + 0 = 666.

It is a super-2 number, since 2×1213313310² = 2944258376446312200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213313317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79087 + ... + 93173.

It is an arithmetic number, because the mean of its divisors is an integer number (28528200).

Almost surely, 2^1213313310 is an apocalyptic number.

1213313310 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 1213313310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825804800).

1213313310 is an abundant number, since it is smaller than the sum of its proper divisors (2438296290).

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

1213313310 is a wasteful number, since it uses less digits than its factorization.

1213313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14143 (or 14137 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1213313310 is about 34832.6471862246. The cubic root of 1213313310 is about 1066.5739868477.

Adding to 1213313310 its reverse (133133121), we get a palindrome (1346446431).

The spelling of 1213313310 in words is "one billion, two hundred thirteen million, three hundred thirteen thousand, three hundred ten".