42013000000320 has 112 divisors (see below), whose sum is σ = 133949398222080. Its totient is φ = 11156590176256.

The previous prime is 42013000000319. The next prime is 42013000000339. The reversal of 42013000000320 is 2300000031024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42013000000320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91326087 + ... + 91784966.

It is an arithmetic number, because the mean of its divisors is an integer number (1195976769840).

Almost surely, 2^{42013000000320} is an apocalyptic number.

42013000000320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42013000000320 is an abundant number, since it is smaller than the sum of its proper divisors (91936398221760).

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

42013000000320 is a wasteful number, since it uses less digits than its factorization.

42013000000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183111312 (or 183111302 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 42013000000320 its reverse (2300000031024), we get a palindrome (44313000031344).

The spelling of 42013000000320 in words is "forty-two trillion, thirteen billion, three hundred twenty", and thus it is an aban number.