13717117461300 has 144 divisors (see below), whose sum is σ = 43306261888512. Its totient is φ = 3324589833600.

The previous prime is 13717117461277. The next prime is 13717117461353. The reversal of 13717117461300 is 316471171731.

It is a super-2 number, since 2×13717117461300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13798779 + ... + 14759421.

Almost surely, 2^{13717117461300} is an apocalyptic number.

13717117461300 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 13717117461300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653130944256).

13717117461300 is an abundant number, since it is smaller than the sum of its proper divisors (29589144427212).

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

13717117461300 is a wasteful number, since it uses less digits than its factorization.

13717117461300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964998 (or 964991 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The spelling of 13717117461300 in words is "thirteen trillion, seven hundred seventeen billion, one hundred seventeen million, four hundred sixty-one thousand, three hundred".