10334013120 has 168 divisors, whose sum is σ = 36770675760. Its totient is φ = 2660689920.

The previous prime is 10334013119. The next prime is 10334013121. The reversal of 10334013120 is 2131043301.

10334013120 is a `hidden beast` number, since 10 + 3 + 340 + 1 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10334013119) and next prime (10334013121).

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 = 10334013093 and 10334013102.

It is not an unprimeable number, because it can be changed into a prime (10334013121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21655 + ... + 145385.

It is an arithmetic number, because the mean of its divisors is an integer number (218873070).

Almost surely, 2^10334013120 is an apocalyptic number.

10334013120 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 10334013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385337880).

10334013120 is an abundant number, since it is smaller than the sum of its proper divisors (26436662640).

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

10334013120 is a wasteful number, since it uses less digits than its factorization.

10334013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123783 (or 123770 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10334013120 its reverse (2131043301), we get a palindrome (12465056421).

The spelling of 10334013120 in words is "ten billion, three hundred thirty-four million, thirteen thousand, one hundred twenty".