13117664660100 has 576 divisors, whose sum is σ = 52336228933632. Its totient is φ = 2448071424000.

The previous prime is 13117664660071. The next prime is 13117664660119. The reversal of 13117664660100 is 106646671131.

13117664660100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13117664660100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10520805 + ... + 11701395.

Almost surely, 2^{13117664660100} is an apocalyptic number.

13117664660100 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 13117664660100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26168114466816).

13117664660100 is an abundant number, since it is smaller than the sum of its proper divisors (39218564273532).

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

13117664660100 is a wasteful number, since it uses less digits than its factorization.

13117664660100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180676 (or 1180669 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 13117664660100 in words is "thirteen trillion, one hundred seventeen billion, six hundred sixty-four million, six hundred sixty thousand, one hundred".