13114122441000 has 128 divisors (see below), whose sum is σ = 46761213807360. Its totient is φ = 2997513696000.

The previous prime is 13114122440971. The next prime is 13114122441029. The reversal of 13114122441000 is 14422141131.

It is a happy number.

13114122441000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13114122440971) and next prime (13114122441029).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312220011 + ... + 312262010.

It is an arithmetic number, because the mean of its divisors is an integer number (365321982870).

Almost surely, 2^{13114122441000} is an apocalyptic number.

13114122441000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114122441000 is an abundant number, since it is smaller than the sum of its proper divisors (33647091366360).

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

13114122441000 is a wasteful number, since it uses less digits than its factorization.

13114122441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624482052 (or 624482038 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 13114122441000 its reverse (14422141131), we get a palindrome (13128544582131).

The spelling of 13114122441000 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-two million, four hundred forty-one thousand".