131552073301 has 32 divisors (see below), whose sum is σ = 155489518080. Its totient is φ = 109947801600.

The previous prime is 131552073283. The next prime is 131552073343. The reversal of 131552073301 is 103370255131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131552073301 - 2⁹ = 131552072789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131552073371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4564705 + ... + 4593433.

It is an arithmetic number, because the mean of its divisors is an integer number (4859047440).

Almost surely, 2^131552073301 is an apocalyptic number.

131552073301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131552073301 is a deficient number, since it is larger than the sum of its proper divisors (23937444779).

131552073301 is a wasteful number, since it uses less digits than its factorization.

131552073301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29325.

The product of its (nonzero) digits is 9450, while the sum is 31.

The spelling of 131552073301 in words is "one hundred thirty-one billion, five hundred fifty-two million, seventy-three thousand, three hundred one".