130313312131002 has 512 divisors, whose sum is σ = 361842407055360. Its totient is φ = 30192626257920.

The previous prime is 130313312130889. The next prime is 130313312131027. The reversal of 130313312131002 is 200131213313031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28849524448 + ... + 28849528964.

It is an arithmetic number, because the mean of its divisors is an integer number (706723451280).

Almost surely, 2^{130313312131002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130313312131002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180921203527680).

130313312131002 is an abundant number, since it is smaller than the sum of its proper divisors (231529094924358).

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

130313312131002 is a wasteful number, since it uses less digits than its factorization.

130313312131002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 130313312131002 its reverse (200131213313031), we get a palindrome (330444525444033).

The spelling of 130313312131002 in words is "one hundred thirty trillion, three hundred thirteen billion, three hundred twelve million, one hundred thirty-one thousand, two".