13114121200104 has 64 divisors (see below), whose sum is σ = 32876557056000. Its totient is φ = 4359214791360.

The previous prime is 13114121200079. The next prime is 13114121200129. The reversal of 13114121200104 is 40100212141131.

It is an interprime number because it is at equal distance from previous prime (13114121200079) and next prime (13114121200129).

It is a super-2 number, since 2×13114121200104² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25275369 + ... + 25788999.

It is an arithmetic number, because the mean of its divisors is an integer number (513696204000).

Almost surely, 2^{13114121200104} is an apocalyptic number.

It is an amenable number.

13114121200104 is an abundant number, since it is smaller than the sum of its proper divisors (19762435855896).

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

13114121200104 is a wasteful number, since it uses less digits than its factorization.

13114121200104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516598 (or 516594 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 13114121200104 its reverse (40100212141131), we get a palindrome (53214333341235).

The spelling of 13114121200104 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-one million, two hundred thousand, one hundred four".