130031300033320 has 192 divisors, whose sum is σ = 370096227928080. Its totient is φ = 40825634217984.

The previous prime is 130031300033317. The next prime is 130031300033351. The reversal of 130031300033320 is 23330003130031.

It can be written as a sum of positive squares in 8 ways, for example, as 86260293920164 + 43771006113156 = 9287642^2 + 6615966^2 .

It is a super-2 number, since 2×130031300033320² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130031300033291 and 130031300033300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51503647 + ... + 53969326.

Almost surely, 2^{130031300033320} is an apocalyptic number.

130031300033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130031300033320 is an abundant number, since it is smaller than the sum of its proper divisors (240064927894760).

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

130031300033320 is a wasteful number, since it uses less digits than its factorization.

130031300033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105473052 (or 105473041 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 130031300033320 its reverse (23330003130031), we get a palindrome (153361303163351).

The spelling of 130031300033320 in words is "one hundred thirty trillion, thirty-one billion, three hundred million, thirty-three thousand, three hundred twenty".