13757317120000 has 300 divisors, whose sum is σ = 35220879278046. Its totient is φ = 5368709120000.

The previous prime is 13757317119991. The next prime is 13757317120013. The reversal of 13757317120000 is 2171375731.

It can be written as a sum of positive squares in 5 ways, for example, as 408290328576 + 13349026791424 = 638976^2 + 3653632^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 335544319980 + ... + 335544320020.

Almost surely, 2^{13757317120000} is an apocalyptic number.

13757317120000 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 13757317120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17610439639023).

13757317120000 is an abundant number, since it is smaller than the sum of its proper divisors (21463562158046).

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

13757317120000 is an frugal number, since it uses more digits than its factorization.

13757317120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 37.

Adding to 13757317120000 its reverse (2171375731), we get a palindrome (13759488495731).

The spelling of 13757317120000 in words is "thirteen trillion, seven hundred fifty-seven billion, three hundred seventeen million, one hundred twenty thousand".