313442402010030 has 144 divisors (see below), whose sum is σ = 842115768410592. Its totient is φ = 80885597097600.

The previous prime is 313442402010007. The next prime is 313442402010041. The reversal of 313442402010030 is 30010204244313.

313442402010030 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 424 + 0 + 201 + 0 + 0 + 30 = 666.

It is a super-2 number, since 2×313442402010030² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313442402009976 and 313442402010003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4097944447 + ... + 4098020933.

It is an arithmetic number, because the mean of its divisors is an integer number (5848026169518).

Almost surely, 2^{313442402010030} is an apocalyptic number.

313442402010030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313442402010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421057884205296).

313442402010030 is an abundant number, since it is smaller than the sum of its proper divisors (528673366400562).

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

313442402010030 is a wasteful number, since it uses less digits than its factorization.

313442402010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123943 (or 123909 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 313442402010030 its reverse (30010204244313), we get a palindrome (343452606254343).

The spelling of 313442402010030 in words is "three hundred thirteen trillion, four hundred forty-two billion, four hundred two million, ten thousand, thirty".