13291968243100 has 72 divisors (see below), whose sum is σ = 29226568129920. Its totient is φ = 5246344505280.

The previous prime is 13291968243083. The next prime is 13291968243137. The reversal of 13291968243100 is 134286919231.

It is a super-2 number, since 2×13291968243100² (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 23 ways as a sum of consecutive naturals, for example, 5857971 + ... + 7803829.

It is an arithmetic number, because the mean of its divisors is an integer number (405924557360).

Almost surely, 2^{13291968243100} is an apocalyptic number.

13291968243100 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 13291968243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613284064960).

13291968243100 is an abundant number, since it is smaller than the sum of its proper divisors (15934599886820).

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

13291968243100 is a wasteful number, since it uses less digits than its factorization.

13291968243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946779 (or 1946772 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 13291968243100 in words is "thirteen trillion, two hundred ninety-one billion, nine hundred sixty-eight million, two hundred forty-three thousand, one hundred".