32133003211300 has 36 divisors (see below), whose sum is σ = 69999934600260. Its totient is φ = 12803188817920.

The previous prime is 32133003211241. The next prime is 32133003211303. The reversal of 32133003211300 is 311230033123.

It can be written as a sum of positive squares in 6 ways, for example, as 517303300644 + 31615699910656 = 719238^2 + 5622784^2 .

It is a super-3 number, since 3×32133003211300³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (32133003211303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625130005 + ... + 625181404.

It is an arithmetic number, because the mean of its divisors is an integer number (1944442627785).

Almost surely, 2^{32133003211300} is an apocalyptic number.

It is an amenable number.

32133003211300 is an abundant number, since it is smaller than the sum of its proper divisors (37866931388960).

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

32133003211300 is a wasteful number, since it uses less digits than its factorization.

32133003211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250311680 (or 1250311673 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 32133003211300 its reverse (311230033123), we get a palindrome (32444233244423).

The spelling of 32133003211300 in words is "thirty-two trillion, one hundred thirty-three billion, three million, two hundred eleven thousand, three hundred".