301013131010020 has 192 divisors, whose sum is σ = 745038289562112. Its totient is φ = 100713507840000.

The previous prime is 301013131010017. The next prime is 301013131010041. The reversal of 301013131010020 is 20010131310103.

It is a junction number, because it is equal to n+sod(n) for n = 301013131009976 and 301013131010003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1124724220 + ... + 1124991820.

It is an arithmetic number, because the mean of its divisors is an integer number (3880407758136).

Almost surely, 2^{301013131010020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301013131010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372519144781056).

301013131010020 is an abundant number, since it is smaller than the sum of its proper divisors (444025158552092).

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

301013131010020 is a wasteful number, since it uses less digits than its factorization.

301013131010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268902 (or 268900 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 301013131010020 its reverse (20010131310103), we get a palindrome (321023262320123).

The spelling of 301013131010020 in words is "three hundred one trillion, thirteen billion, one hundred thirty-one million, ten thousand, twenty".