301132132002 has 160 divisors (see below), whose sum is σ = 754022438400. Its totient is φ = 89198807040.

The previous prime is 301132131931. The next prime is 301132132003. The reversal of 301132132002 is 200231231103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (301132132003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12588249 + ... + 12612147.

It is an arithmetic number, because the mean of its divisors is an integer number (4712640240).

Almost surely, 2^301132132002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301132132002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377011219200).

301132132002 is an abundant number, since it is smaller than the sum of its proper divisors (452890306398).

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

301132132002 is a wasteful number, since it uses less digits than its factorization.

301132132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24150 (or 24141 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 301132132002 its reverse (200231231103), we get a palindrome (501363363105).

The spelling of 301132132002 in words is "three hundred one billion, one hundred thirty-two million, one hundred thirty-two thousand, two".