32133121101312 has 640 divisors, whose sum is σ = 107415479255040. Its totient is φ = 8292673781760.

The previous prime is 32133121101307. The next prime is 32133121101371. The reversal of 32133121101312 is 21310112133123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 14559636913 + ... + 14559639119.

It is an arithmetic number, because the mean of its divisors is an integer number (167836686336).

Almost surely, 2^{32133121101312} is an apocalyptic number.

32133121101312 is a gapful number since it is divisible by the number (32) 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 32133121101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53707739627520).

32133121101312 is an abundant number, since it is smaller than the sum of its proper divisors (75282358153728).

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

32133121101312 is a wasteful number, since it uses less digits than its factorization.

32133121101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 32133121101312 its reverse (21310112133123), we get a palindrome (53443233234435).

The spelling of 32133121101312 in words is "thirty-two trillion, one hundred thirty-three billion, one hundred twenty-one million, one hundred one thousand, three hundred twelve".