313030330113120 has 96 divisors (see below), whose sum is σ = 1010095431135840. Its totient is φ = 81438785064960.

The previous prime is 313030330113113. The next prime is 313030330113121. The reversal of 313030330113120 is 21311033030313.

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

It is a super-2 number, since 2×313030330113120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313030330113121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7952986675 + ... + 7953026034.

It is an arithmetic number, because the mean of its divisors is an integer number (10521827407665).

Almost surely, 2^{313030330113120} is an apocalyptic number.

313030330113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313030330113120 is an abundant number, since it is smaller than the sum of its proper divisors (697065101022720).

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

313030330113120 is a wasteful number, since it uses less digits than its factorization.

313030330113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15906012768 (or 15906012760 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 313030330113120 its reverse (21311033030313), we get a palindrome (334341363143433).

The spelling of 313030330113120 in words is "three hundred thirteen trillion, thirty billion, three hundred thirty million, one hundred thirteen thousand, one hundred twenty".