413102351305300 has 144 divisors (see below), whose sum is σ = 961209726140160. Its totient is φ = 153817868413440.

The previous prime is 413102351305297. The next prime is 413102351305331. The reversal of 413102351305300 is 3503153201314.

It is a happy number.

It is a super-2 number, since 2×413102351305300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 13486047 + ... + 31750246.

It is an arithmetic number, because the mean of its divisors is an integer number (6675067542640).

Almost surely, 2^{413102351305300} is an apocalyptic number.

It is an amenable number.

413102351305300 is an abundant number, since it is smaller than the sum of its proper divisors (548107374834860).

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

413102351305300 is a wasteful number, since it uses less digits than its factorization.

413102351305300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45236450 (or 45236443 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 413102351305300 in words is "four hundred thirteen trillion, one hundred two billion, three hundred fifty-one million, three hundred five thousand, three hundred".