13030312000 has 112 divisors (see below), whose sum is σ = 32633930160. Its totient is φ = 5153280000.

The previous prime is 13030311919. The next prime is 13030312063. The reversal of 13030312000 is 21303031.

It can be written as a sum of positive squares in 8 ways, for example, as 10418693184 + 2611618816 = 102072^2 + 51104^2 .

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 15 ways as a sum of consecutive naturals, for example, 702850 + ... + 721150.

Almost surely, 2^13030312000 is an apocalyptic number.

13030312000 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 13030312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316965080).

13030312000 is an abundant number, since it is smaller than the sum of its proper divisors (19603618160).

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

13030312000 is an equidigital number, since it uses as much as digits as its factorization.

13030312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18417 (or 18397 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13030312000 its reverse (21303031), we get a palindrome (13051615031).

It can be divided in two parts, 1303031 and 2000, that added together give a palindrome (1305031).

The spelling of 13030312000 in words is "thirteen billion, thirty million, three hundred twelve thousand".