131033005152 has 96 divisors (see below), whose sum is σ = 406654214400. Its totient is φ = 36147030528.

The previous prime is 131033005079. The next prime is 131033005153. The reversal of 131033005152 is 251500330131.

131033005152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033005153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3342402 + ... + 3381377.

It is an arithmetic number, because the mean of its divisors is an integer number (4235981400).

Almost surely, 2^131033005152 is an apocalyptic number.

131033005152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131033005152 is an abundant number, since it is smaller than the sum of its proper divisors (275621209248).

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

131033005152 is a wasteful number, since it uses less digits than its factorization.

131033005152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723828 (or 6723820 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 131033005152 its reverse (251500330131), we get a palindrome (382533335283).

The spelling of 131033005152 in words is "one hundred thirty-one billion, thirty-three million, five thousand, one hundred fifty-two".