65013120 has 96 divisors (see below), whose sum is σ = 224518320. Its totient is φ = 17335296.

The previous prime is 65013097. The next prime is 65013121. The reversal of 65013120 is 2131056.

65013120 is a `hidden beast` number, since 650 + 1 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 65013093 and 65013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65013121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117 + ... + 11403.

Almost surely, 2^65013120 is an apocalyptic number.

65013120 is a gapful number since it is divisible by the number (60) 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 65013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112259160).

65013120 is an abundant number, since it is smaller than the sum of its proper divisors (159505200).

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

65013120 is a wasteful number, since it uses less digits than its factorization.

65013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11312 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 65013120 is about 8063.0713751027. The cubic root of 65013120 is about 402.0996263066.

Adding to 65013120 its reverse (2131056), we get a palindrome (67144176).

The spelling of 65013120 in words is "sixty-five million, thirteen thousand, one hundred twenty".