32102123001300 has 432 divisors, whose sum is σ = 111197643228672. Its totient is φ = 7681597804800.

The previous prime is 32102123001283. The next prime is 32102123001329. The reversal of 32102123001300 is 310032120123.

32102123001300 is a `hidden beast` number, since 3 + 21 + 0 + 212 + 300 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 312996627 + ... + 313099173.

Almost surely, 2^{32102123001300} is an apocalyptic number.

32102123001300 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 32102123001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598821614336).

32102123001300 is an abundant number, since it is smaller than the sum of its proper divisors (79095520227372).

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

32102123001300 is a wasteful number, since it uses less digits than its factorization.

32102123001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102988 (or 102978 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32102123001300 its reverse (310032120123), we get a palindrome (32412155121423).

The spelling of 32102123001300 in words is "thirty-two trillion, one hundred two billion, one hundred twenty-three million, one thousand, three hundred".