132125351503301 has 48 divisors (see below), whose sum is σ = 146875360656528. Its totient is φ = 118731453235200.

The previous prime is 132125351503231. The next prime is 132125351503307. The reversal of 132125351503301 is 103305153521231.

It can be written as a sum of positive squares in 24 ways, for example, as 131323921912225 + 801429591076 = 11459665^2 + 895226^2 .

It is not a de Polignac number, because 132125351503301 - 2²⁶ = 132125284394437 is a prime.

It is a super-2 number, since 2×132125351503301² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132125351503307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17201578181 + ... + 17201585861.

It is an arithmetic number, because the mean of its divisors is an integer number (3059903347011).

Almost surely, 2^{132125351503301} is an apocalyptic number.

It is an amenable number.

132125351503301 is a deficient number, since it is larger than the sum of its proper divisors (14750009153227).

132125351503301 is a wasteful number, since it uses less digits than its factorization.

132125351503301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12762 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 35.

The spelling of 132125351503301 in words is "one hundred thirty-two trillion, one hundred twenty-five billion, three hundred fifty-one million, five hundred three thousand, three hundred one".