132311213241040 has 160 divisors (see below), whose sum is σ = 319957210490400. Its totient is φ = 50851609436160.

The previous prime is 132311213241037. The next prime is 132311213241071. The reversal of 132311213241040 is 40142312113231.

It can be written as a sum of positive squares in 16 ways, for example, as 35391362476096 + 96919850764944 = 5949064^2 + 9844788^2 .

It is a super-2 number, since 2×132311213241040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58111606 + ... + 60345514.

It is an arithmetic number, because the mean of its divisors is an integer number (1999732565565).

Almost surely, 2^{132311213241040} is an apocalyptic number.

132311213241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132311213241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159978605245200).

132311213241040 is an abundant number, since it is smaller than the sum of its proper divisors (187645997249360).

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

132311213241040 is a wasteful number, since it uses less digits than its factorization.

132311213241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234265 (or 2234259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 132311213241040 its reverse (40142312113231), we get a palindrome (172453525354271).

The spelling of 132311213241040 in words is "one hundred thirty-two trillion, three hundred eleven billion, two hundred thirteen million, two hundred forty-one thousand, forty".