42102113313000 has 256 divisors, whose sum is σ = 141573016166400. Its totient is φ = 10355544729600.

The previous prime is 42102113312983. The next prime is 42102113313017. The reversal of 42102113313000 is 31331120124.

It is an interprime number because it is at equal distance from previous prime (42102113312983) and next prime (42102113313017).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49852249 + ... + 50689751.

It is an arithmetic number, because the mean of its divisors is an integer number (553019594400).

Almost surely, 2^{42102113313000} is an apocalyptic number.

42102113313000 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 42102113313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70786508083200).

42102113313000 is an abundant number, since it is smaller than the sum of its proper divisors (99470902853400).

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

42102113313000 is a wasteful number, since it uses less digits than its factorization.

42102113313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838829 (or 838815 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 42102113313000 its reverse (31331120124), we get a palindrome (42133444433124).

The spelling of 42102113313000 in words is "forty-two trillion, one hundred two billion, one hundred thirteen million, three hundred thirteen thousand".