13313741091840 has 1408 divisors, whose sum is σ = 58461219532800. Its totient is φ = 2804913930240.

The previous prime is 13313741091817. The next prime is 13313741091841. The reversal of 13313741091840 is 4819014731331.

13313741091840 is a `hidden beast` number, since 1 + 331 + 37 + 4 + 109 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313741091841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 680269255 + ... + 680288825.

Almost surely, 2^{13313741091840} is an apocalyptic number.

13313741091840 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 13313741091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29230609766400).

13313741091840 is an abundant number, since it is smaller than the sum of its proper divisors (45147478440960).

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

13313741091840 is a wasteful number, since it uses less digits than its factorization.

13313741091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668 (or 19644 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13313741091840 in words is "thirteen trillion, three hundred thirteen billion, seven hundred forty-one million, ninety-one thousand, eight hundred forty".