131033004066 has 24 divisors (see below), whose sum is σ = 288716790960. Its totient is φ = 42937368216.

The previous prime is 131033004049. The next prime is 131033004071. The reversal of 131033004066 is 660400330131.

131033004066 is a `hidden beast` number, since 1 + 310 + 3 + 300 + 40 + 6 + 6 = 666.

131033004066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61690560 + ... + 61692683.

It is an arithmetic number, because the mean of its divisors is an integer number (12029866290).

Almost surely, 2^131033004066 is an apocalyptic number.

131033004066 is an abundant number, since it is smaller than the sum of its proper divisors (157683786894).

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

131033004066 is a wasteful number, since it uses less digits than its factorization.

131033004066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123383310 (or 123383307 counting only the distinct ones).

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

Adding to 131033004066 its reverse (660400330131), we get a palindrome (791433334197).

It can be divided in two parts, 13103 and 3004066, that added together give a square (3017169 = 1737²).

The spelling of 131033004066 in words is "one hundred thirty-one billion, thirty-three million, four thousand, sixty-six".