131101021110330 has 24 divisors (see below), whose sum is σ = 340862654887092. Its totient is φ = 34960272296064.

The previous prime is 131101021110287. The next prime is 131101021110347. The reversal of 131101021110330 is 33011120101131.

131101021110330 is a `hidden beast` number, since 1 + 3 + 110 + 1 + 0 + 211 + 10 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126604555993161 + 4496465117169 = 11251869^2 + 2120487^2 .

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

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 728339006079 + ... + 728339006258.

Almost surely, 2^{131101021110330} is an apocalyptic number.

131101021110330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131101021110330 is an abundant number, since it is smaller than the sum of its proper divisors (209761633776762).

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

131101021110330 is a wasteful number, since it uses less digits than its factorization.

131101021110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456678012350 (or 1456678012347 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131101021110330 its reverse (33011120101131), we get a palindrome (164112141211461).

The spelling of 131101021110330 in words is "one hundred thirty-one trillion, one hundred one billion, twenty-one million, one hundred ten thousand, three hundred thirty".