132130314303400 has 576 divisors, whose sum is σ = 395734704840000. Its totient is φ = 40735170846720.

The previous prime is 132130314303257. The next prime is 132130314303409. The reversal of 132130314303400 is 4303413031231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (132130314303409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 318380832 + ... + 318795568.

It is an arithmetic number, because the mean of its divisors is an integer number (687039418125).

Almost surely, 2^{132130314303400} is an apocalyptic number.

132130314303400 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 132130314303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197867352420000).

132130314303400 is an abundant number, since it is smaller than the sum of its proper divisors (263604390536600).

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

132130314303400 is a wasteful number, since it uses less digits than its factorization.

132130314303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414874 (or 414858 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 132130314303400 its reverse (4303413031231), we get a palindrome (136433727334631).

The spelling of 132130314303400 in words is "one hundred thirty-two trillion, one hundred thirty billion, three hundred fourteen million, three hundred three thousand, four hundred".