32132313000000 has 588 divisors, whose sum is σ = 115273021283316. Its totient is φ = 8557632000000.

The previous prime is 32132312999951. The next prime is 32132313000013. The reversal of 32132313000000 is 31323123.

32132313000000 is a `hidden beast` number, since 321 + 32 + 313 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 32132300383296 + 12616704 = 5668536^2 + 3552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8972998210 + ... + 8973001790.

Almost surely, 2^{32132313000000} is an apocalyptic number.

32132313000000 is a gapful number since it is divisible by the number (30) 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 32132313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57636510641658).

32132313000000 is an abundant number, since it is smaller than the sum of its proper divisors (83140708283316).

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

32132313000000 is an frugal number, since it uses more digits than its factorization.

32132313000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32132313000000 its reverse (31323123), we get a palindrome (32132344323123).

The spelling of 32132313000000 in words is "thirty-two trillion, one hundred thirty-two billion, three hundred thirteen million", and thus it is an aban number.