301020001320 has 128 divisors (see below), whose sum is σ = 920162177280. Its totient is φ = 78758400000.

The previous prime is 301020001309. The next prime is 301020001333. The reversal of 301020001320 is 23100020103.

It is a happy number.

It is a super-2 number, since 2×301020001320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 301020001296 and 301020001305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2884045 + ... + 2986595.

It is an arithmetic number, because the mean of its divisors is an integer number (7188767010).

Almost surely, 2^301020001320 is an apocalyptic number.

301020001320 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 301020001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460081088640).

301020001320 is an abundant number, since it is smaller than the sum of its proper divisors (619142175960).

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

301020001320 is a wasteful number, since it uses less digits than its factorization.

301020001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103027 (or 103023 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 301020001320 its reverse (23100020103), we get a palindrome (324120021423).

The spelling of 301020001320 in words is "three hundred one billion, twenty million, one thousand, three hundred twenty".