13706133120 has 448 divisors, whose sum is σ = 50871061800. Its totient is φ = 3525451776.

The previous prime is 13706133109. The next prime is 13706133131. The reversal of 13706133120 is 2133160731.

13706133120 is a `hidden beast` number, since 1 + 37 + 0 + 613 + 3 + 12 + 0 = 666.

13706133120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13706133109) and next prime (13706133131).

It can be written as a sum of positive squares in 4 ways, for example, as 6352727616 + 7353405504 = 79704^2 + 85752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13529734 + ... + 13530746.

Almost surely, 2^13706133120 is an apocalyptic number.

13706133120 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 13706133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25435530900).

13706133120 is an abundant number, since it is smaller than the sum of its proper divisors (37164928680).

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

13706133120 is an equidigital number, since it uses as much as digits as its factorization.

13706133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 13706133120 its reverse (2133160731), we get a palindrome (15839293851).

The spelling of 13706133120 in words is "thirteen billion, seven hundred six million, one hundred thirty-three thousand, one hundred twenty".