1034313120 has 144 divisors (see below), whose sum is σ = 3557185632. Its totient is φ = 273661440.

The previous prime is 1034313107. The next prime is 1034313131. The reversal of 1034313120 is 213134301.

1034313120 is a `hidden beast` number, since 10 + 343 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1034313093 and 1034313102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185899 + ... + 191381.

It is an arithmetic number, because the mean of its divisors is an integer number (24702678).

Almost surely, 2^1034313120 is an apocalyptic number.

1034313120 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 1034313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778592816).

1034313120 is an abundant number, since it is smaller than the sum of its proper divisors (2522872512).

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

1034313120 is a wasteful number, since it uses less digits than its factorization.

1034313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5635 (or 5624 counting only the distinct ones).

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

The square root of 1034313120 is about 32160.7387974841. The cubic root of 1034313120 is about 1011.3093237068.

Adding to 1034313120 its reverse (213134301), we get a palindrome (1247447421).

The spelling of 1034313120 in words is "one billion, thirty-four million, three hundred thirteen thousand, one hundred twenty".