301131012 has 192 divisors, whose sum is σ = 922360320. Its totient is φ = 74317824.

The previous prime is 301131011. The next prime is 301131023. The reversal of 301131012 is 210131103.

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

It is not an unprimeable number, because it can be changed into a prime (301131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1171588 + ... + 1171844.

It is an arithmetic number, because the mean of its divisors is an integer number (4803960).

Almost surely, 2^301131012 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 301131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461180160).

301131012 is an abundant number, since it is smaller than the sum of its proper divisors (621229308).

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

301131012 is a wasteful number, since it uses less digits than its factorization.

301131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 301131012 is about 17353.1268652079. The cubic root of 301131012 is about 670.2731580922.

Adding to 301131012 its reverse (210131103), we get a palindrome (511262115).

Subtracting from 301131012 its reverse (210131103), we obtain a palindrome (90999909).

It can be divided in two parts, 30113 and 1012, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 301131012 in words is "three hundred one million, one hundred thirty-one thousand, twelve".