301133022320130 has 256 divisors, whose sum is σ = 970770045321216. Its totient is φ = 57735629752320.

The previous prime is 301133022320051. The next prime is 301133022320131. The reversal of 301133022320130 is 31023220331103.

It is a self number, because there is not a number n which added to its sum of digits gives 301133022320130.

It is not an unprimeable number, because it can be changed into a prime (301133022320131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69766567 + ... + 73957013.

It is an arithmetic number, because the mean of its divisors is an integer number (3792070489536).

Almost surely, 2^{301133022320130} is an apocalyptic number.

301133022320130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 301133022320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485385022660608).

301133022320130 is an abundant number, since it is smaller than the sum of its proper divisors (669637023001086).

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

301133022320130 is a wasteful number, since it uses less digits than its factorization.

301133022320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192881.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 301133022320130 its reverse (31023220331103), we get a palindrome (332156242651233).

The spelling of 301133022320130 in words is "three hundred one trillion, one hundred thirty-three billion, twenty-two million, three hundred twenty thousand, one hundred thirty".