32200010133000 has 512 divisors, whose sum is σ = 106862348736000. Its totient is φ = 8059400294400.

The previous prime is 32200010132951. The next prime is 32200010133073. The reversal of 32200010133000 is 33101000223.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 502566967 + ... + 502631033.

It is an arithmetic number, because the mean of its divisors is an integer number (208715524875).

Almost surely, 2^{32200010133000} is an apocalyptic number.

32200010133000 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 32200010133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53431174368000).

32200010133000 is an abundant number, since it is smaller than the sum of its proper divisors (74662338603000).

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

32200010133000 is a wasteful number, since it uses less digits than its factorization.

32200010133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64282 (or 64268 counting only the distinct ones).

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

Adding to 32200010133000 its reverse (33101000223), we get a palindrome (32233111133223).

The spelling of 32200010133000 in words is "thirty-two trillion, two hundred billion, ten million, one hundred thirty-three thousand".