13101945387120 has 320 divisors, whose sum is σ = 47145771048960. Its totient is φ = 3338062092288.

The previous prime is 13101945387079. The next prime is 13101945387239. The reversal of 13101945387120 is 2178354910131.

13101945387120 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 94 + 538 + 7 + 1 + 20 = 666.

13101945387120 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42721044 + ... + 43026636.

It is an arithmetic number, because the mean of its divisors is an integer number (147330534528).

Almost surely, 2^{13101945387120} is an apocalyptic number.

13101945387120 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 13101945387120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23572885524480).

13101945387120 is an abundant number, since it is smaller than the sum of its proper divisors (34043825661840).

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

13101945387120 is a wasteful number, since it uses less digits than its factorization.

13101945387120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306501 (or 306489 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 13101945387120 in words is "thirteen trillion, one hundred one billion, nine hundred forty-five million, three hundred eighty-seven thousand, one hundred twenty".