301313000112000 has 1536 divisors, whose sum is σ = 1051808638832640. Its totient is φ = 76254216192000.

The previous prime is 301313000111939. The next prime is 301313000112001. The reversal of 301313000112000 is 211000313103.

It is a super-2 number, since 2×301313000112000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301313000112001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 853577903824 + ... + 853577904176.

It is an arithmetic number, because the mean of its divisors is an integer number (684771249240).

Almost surely, 2^{301313000112000} is an apocalyptic number.

301313000112000 is a gapful number since it is divisible by the number (30) 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 301313000112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525904319416320).

301313000112000 is an abundant number, since it is smaller than the sum of its proper divisors (750495638720640).

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

301313000112000 is an equidigital number, since it uses as much as digits as its factorization.

301313000112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 301313000112000 its reverse (211000313103), we get a palindrome (301524000425103).

The spelling of 301313000112000 in words is "three hundred one trillion, three hundred thirteen billion, one hundred twelve thousand".