13400031314000 has 80 divisors (see below), whose sum is σ = 34106606114880. Its totient is φ = 5077906588800.

The previous prime is 13400031313993. The next prime is 13400031314011. The reversal of 13400031314000 is 41313000431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176278202 + ... + 176354201.

It is an arithmetic number, because the mean of its divisors is an integer number (426332576436).

Almost surely, 2^{13400031314000} is an apocalyptic number.

13400031314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400031314000 is an abundant number, since it is smaller than the sum of its proper divisors (20706574800880).

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

13400031314000 is a wasteful number, since it uses less digits than its factorization.

13400031314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352632445 (or 352632429 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13400031314000 its reverse (41313000431), we get a palindrome (13441344314431).

The spelling of 13400031314000 in words is "thirteen trillion, four hundred billion, thirty-one million, three hundred fourteen thousand".