131221223310330 has 128 divisors (see below), whose sum is σ = 376915940720640. Its totient is φ = 32391213560640.

The previous prime is 131221223310319. The next prime is 131221223310349. The reversal of 131221223310330 is 33013322122131.

131221223310330 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 12 + 2 + 3 + 310 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131221223310294 and 131221223310303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340624132 + ... + 341009151.

It is an arithmetic number, because the mean of its divisors is an integer number (2944655786880).

Almost surely, 2^{131221223310330} is an apocalyptic number.

131221223310330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131221223310330 is an abundant number, since it is smaller than the sum of its proper divisors (245694717410310).

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

131221223310330 is a wasteful number, since it uses less digits than its factorization.

131221223310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681633353 (or 681633347 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131221223310330 its reverse (33013322122131), we get a palindrome (164234545432461).

The spelling of 131221223310330 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, two hundred twenty-three million, three hundred ten thousand, three hundred thirty".