13114781067100 has 36 divisors (see below), whose sum is σ = 29440422333000. Its totient is φ = 5065018893760.

The previous prime is 13114781067097. The next prime is 13114781067103. The reversal of 13114781067100 is 176018741131.

It is an interprime number because it is at equal distance from previous prime (13114781067097) and next prime (13114781067103).

It is a super-2 number, since 2×13114781067100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114781067103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2261166250 + ... + 2261172049.

It is an arithmetic number, because the mean of its divisors is an integer number (817789509250).

Almost surely, 2^{13114781067100} is an apocalyptic number.

13114781067100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114781067100 is an abundant number, since it is smaller than the sum of its proper divisors (16325641265900).

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

13114781067100 is a wasteful number, since it uses less digits than its factorization.

13114781067100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522338342 (or 4522338335 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

The spelling of 13114781067100 in words is "thirteen trillion, one hundred fourteen billion, seven hundred eighty-one million, sixty-seven thousand, one hundred".