32123033013000 has 256 divisors, whose sum is σ = 100579783449600. Its totient is φ = 8535743462400.

The previous prime is 32123033012933. The next prime is 32123033013023. The reversal of 32123033013000 is 31033032123.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3222934017 + ... + 3222943983.

It is an arithmetic number, because the mean of its divisors is an integer number (392889779100).

Almost surely, 2^{32123033013000} is an apocalyptic number.

32123033013000 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 32123033013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50289891724800).

32123033013000 is an abundant number, since it is smaller than the sum of its proper divisors (68456750436600).

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

32123033013000 is a wasteful number, since it uses less digits than its factorization.

32123033013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13697 (or 13683 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 32123033013000 its reverse (31033032123), we get a palindrome (32154066045123).

The spelling of 32123033013000 in words is "thirty-two trillion, one hundred twenty-three billion, thirty-three million, thirteen thousand".