13314020310 has 96 divisors (see below), whose sum is σ = 34941235680. Its totient is φ = 3517208064.

The previous prime is 13314020303. The next prime is 13314020311. The reversal of 13314020310 is 1302041331.

13314020310 is a `hidden beast` number, since 1 + 331 + 4 + 0 + 20 + 310 = 666.

It is a super-2 number, since 2×13314020310² (a number of 21 digits) 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 not an unprimeable number, because it can be changed into a prime (13314020311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8741209 + ... + 8742731.

It is an arithmetic number, because the mean of its divisors is an integer number (363971205).

Almost surely, 2^13314020310 is an apocalyptic number.

13314020310 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 13314020310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17470617840).

13314020310 is an abundant number, since it is smaller than the sum of its proper divisors (21627215370).

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

13314020310 is a wasteful number, since it uses less digits than its factorization.

13314020310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13314020310 its reverse (1302041331), we get a palindrome (14616061641).

The spelling of 13314020310 in words is "thirteen billion, three hundred fourteen million, twenty thousand, three hundred ten".