13357416300700 has 144 divisors (see below), whose sum is σ = 29328679344384. Its totient is φ = 5280034636800.

The previous prime is 13357416300647. The next prime is 13357416300703. The reversal of 13357416300700 is 700361475331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13357416300703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8312019297 + ... + 8312020903.

It is an arithmetic number, because the mean of its divisors is an integer number (203671384336).

Almost surely, 2^{13357416300700} is an apocalyptic number.

13357416300700 is a gapful number since it is divisible by the number (10) 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 13357416300700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664339672192).

13357416300700 is an abundant number, since it is smaller than the sum of its proper divisors (15971263043684).

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

13357416300700 is a wasteful number, since it uses less digits than its factorization.

13357416300700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The spelling of 13357416300700 in words is "thirteen trillion, three hundred fifty-seven billion, four hundred sixteen million, three hundred thousand, seven hundred".