13023030312000 has 2240 divisors, whose sum is σ = 52931324160000. Its totient is φ = 3148720128000.

The previous prime is 13023030311989. The next prime is 13023030312151. The reversal of 13023030312000 is 21303032031.

13023030312000 is a `hidden beast` number, since 13 + 0 + 230 + 303 + 120 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 56869127886 + ... + 56869128114.

Almost surely, 2^{13023030312000} is an apocalyptic number.

13023030312000 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 13023030312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26465662080000).

13023030312000 is an abundant number, since it is smaller than the sum of its proper divisors (39908293848000).

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

13023030312000 is a wasteful number, since it uses less digits than its factorization.

13023030312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13023030312000 its reverse (21303032031), we get a palindrome (13044333344031).

The spelling of 13023030312000 in words is "thirteen trillion, twenty-three billion, thirty million, three hundred twelve thousand".