13114414002120 has 32 divisors (see below), whose sum is σ = 39343242006720. Its totient is φ = 3497177067200.

The previous prime is 13114414002083. The next prime is 13114414002211. The reversal of 13114414002120 is 2120041441131.

It is a happy number.

It is a super-2 number, since 2×13114414002120² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54643391556 + ... + 54643391795.

It is an arithmetic number, because the mean of its divisors is an integer number (1229476312710).

Almost surely, 2^{13114414002120} is an apocalyptic number.

13114414002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114414002120 is an abundant number, since it is smaller than the sum of its proper divisors (26228828004600).

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

13114414002120 is a wasteful number, since it uses less digits than its factorization.

13114414002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109286783365 (or 109286783361 counting only the distinct ones).

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

Adding to 13114414002120 its reverse (2120041441131), we get a palindrome (15234455443251).

The spelling of 13114414002120 in words is "thirteen trillion, one hundred fourteen billion, four hundred fourteen million, two thousand, one hundred twenty".