13114020300000 has 288 divisors, whose sum is σ = 43041002949504. Its totient is φ = 3495984960000.

The previous prime is 13114020299969. The next prime is 13114020300061. The reversal of 13114020300000 is 302041131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568095819 + ... + 1568104181.

It is an arithmetic number, because the mean of its divisors is an integer number (149447926908).

Almost surely, 2^{13114020300000} is an apocalyptic number.

13114020300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114020300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520501474752).

13114020300000 is an abundant number, since it is smaller than the sum of its proper divisors (29926982649504).

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

13114020300000 is an frugal number, since it uses more digits than its factorization.

13114020300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13628 (or 13600 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13114020300000 its reverse (302041131), we get a palindrome (13114322341131).

The spelling of 13114020300000 in words is "thirteen trillion, one hundred fourteen billion, twenty million, three hundred thousand".