130668782541 has 32 divisors (see below), whose sum is σ = 201960314496. Its totient is φ = 74269440000.

The previous prime is 130668782537. The next prime is 130668782551. The reversal of 130668782541 is 145287866031.

It is not a de Polignac number, because 130668782541 - 2² = 130668782537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130668782551) 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 31 ways as a sum of consecutive naturals, for example, 256810 + ... + 572091.

It is an arithmetic number, because the mean of its divisors is an integer number (6311259828).

Almost surely, 2^130668782541 is an apocalyptic number.

130668782541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130668782541 is a deficient number, since it is larger than the sum of its proper divisors (71291531955).

130668782541 is a wasteful number, since it uses less digits than its factorization.

130668782541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829213.

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 130668782541 in words is "one hundred thirty billion, six hundred sixty-eight million, seven hundred eighty-two thousand, five hundred forty-one".