13313313114000 has 160 divisors (see below), whose sum is σ = 43969003303680. Its totient is φ = 3463626112000.

The previous prime is 13313313113953. The next prime is 13313313114119. The reversal of 13313313114000 is 41131331331.

13313313114000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 26813580 + ... + 27305579.

It is an arithmetic number, because the mean of its divisors is an integer number (274806270648).

Almost surely, 2^{13313313114000} is an apocalyptic number.

13313313114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313313114000 is an abundant number, since it is smaller than the sum of its proper divisors (30655690189680).

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

13313313114000 is a wasteful number, since it uses less digits than its factorization.

13313313114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54119226 (or 54119210 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13313313114000 its reverse (41131331331), we get a palindrome (13354444445331).

The spelling of 13313313114000 in words is "thirteen trillion, three hundred thirteen billion, three hundred thirteen million, one hundred fourteen thousand".