321120010313010 has 48 divisors (see below), whose sum is σ = 842300628847704. Its totient is φ = 84874197413376.

The previous prime is 321120010312991. The next prime is 321120010313023. The reversal of 321120010313010 is 10313010021123.

321120010313010 is a `hidden beast` number, since 321 + 1 + 2 + 0 + 0 + 10 + 31 + 301 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136831810385169 + 184288199927841 = 11697513^2 + 13575279^2 .

It is a super-3 number, since 3×321120010313010³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15787600957 + ... + 15787621296.

Almost surely, 2^{321120010313010} is an apocalyptic number.

321120010313010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

321120010313010 is an abundant number, since it is smaller than the sum of its proper divisors (521180618534694).

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

321120010313010 is a wasteful number, since it uses less digits than its factorization.

321120010313010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31575222379 (or 31575222376 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 321120010313010 its reverse (10313010021123), we get a palindrome (331433020334133).

The spelling of 321120010313010 in words is "three hundred twenty-one trillion, one hundred twenty billion, ten million, three hundred thirteen thousand, ten".