1310121216 has 360 divisors, whose sum is σ = 4238144064. Its totient is φ = 401448960.

The previous prime is 1310121203. The next prime is 1310121223. The reversal of 1310121216 is 6121210131.

It is a super-2 number, since 2×1310121216² = 3432835201226637312, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19554015 + ... + 19554081.

Almost surely, 2^1310121216 is an apocalyptic number.

1310121216 is a gapful number since it is divisible by the number (16) 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 1310121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119072032).

1310121216 is an abundant number, since it is smaller than the sum of its proper divisors (2928022848).

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

1310121216 is an equidigital number, since it uses as much as digits as its factorization.

1310121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1310121216 is about 36195.5966382653. The cubic root of 1310121216 is about 1094.2179290834.

Adding to 1310121216 its reverse (6121210131), we get a palindrome (7431331347).

The spelling of 1310121216 in words is "one billion, three hundred ten million, one hundred twenty-one thousand, two hundred sixteen".