42313213322120 has 256 divisors, whose sum is σ = 115284199968000. Its totient is φ = 13807124545536.

The previous prime is 42313213322113. The next prime is 42313213322123. The reversal of 42313213322120 is 2122331231324.

It is not an unprimeable number, because it can be changed into a prime (42313213322123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17864771 + ... + 20094189.

It is an arithmetic number, because the mean of its divisors is an integer number (450328906125).

Almost surely, 2^{42313213322120} is an apocalyptic number.

42313213322120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42313213322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57642099984000).

42313213322120 is an abundant number, since it is smaller than the sum of its proper divisors (72970986645880).

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

42313213322120 is a wasteful number, since it uses less digits than its factorization.

42313213322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229592 (or 2229588 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 42313213322120 its reverse (2122331231324), we get a palindrome (44435544553444).

The spelling of 42313213322120 in words is "forty-two trillion, three hundred thirteen billion, two hundred thirteen million, three hundred twenty-two thousand, one hundred twenty".