32132310000000 has 1024 divisors, whose sum is σ = 124273931857920. Its totient is φ = 7203456000000.

The previous prime is 32132309999957. The next prime is 32132310000107. The reversal of 32132310000000 is 1323123.

It is a super-2 number, since 2×32132310000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11129998557 + ... + 11130001443.

It is an arithmetic number, because the mean of its divisors is an integer number (121361261580).

Almost surely, 2^{32132310000000} is an apocalyptic number.

32132310000000 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 32132310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62136965928960).

32132310000000 is an abundant number, since it is smaller than the sum of its proper divisors (92141621857920).

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

32132310000000 is an frugal number, since it uses more digits than its factorization.

32132310000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 32132310000000 its reverse (1323123), we get a palindrome (32132311323123).

The spelling of 32132310000000 in words is "thirty-two trillion, one hundred thirty-two billion, three hundred ten million", and thus it is an aban number.