131000304310330 has 384 divisors, whose sum is σ = 308843011572480. Its totient is φ = 39604260003840.

The previous prime is 131000304310321. The next prime is 131000304310339. The reversal of 131000304310330 is 33013403000131.

It is an interprime number because it is at equal distance from previous prime (131000304310321) and next prime (131000304310339).

It is a super-2 number, since 2×131000304310330² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131000304310339) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 12253320285 + ... + 12253330975.

It is an arithmetic number, because the mean of its divisors is an integer number (804278675970).

Almost surely, 2^{131000304310330} is an apocalyptic number.

131000304310330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131000304310330 is an abundant number, since it is smaller than the sum of its proper divisors (177842707262150).

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

131000304310330 is a wasteful number, since it uses less digits than its factorization.

131000304310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11447 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 131000304310330 its reverse (33013403000131), we get a palindrome (164013707310461).

The spelling of 131000304310330 in words is "one hundred thirty-one trillion, three hundred four million, three hundred ten thousand, three hundred thirty".