32313001002000 has 160 divisors (see below), whose sum is σ = 104280382652160. Its totient is φ = 8608258713600.

The previous prime is 32313001001987. The next prime is 32313001002011. The reversal of 32313001002000 is 20010031323.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3385269 + ... + 8722731.

It is an arithmetic number, because the mean of its divisors is an integer number (651752391576).

Almost surely, 2^{32313001002000} is an apocalyptic number.

32313001002000 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 32313001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52140191326080).

32313001002000 is an abundant number, since it is smaller than the sum of its proper divisors (71967381650160).

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

32313001002000 is a wasteful number, since it uses less digits than its factorization.

32313001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338498 (or 5338482 counting only the distinct ones).

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

Adding to 32313001002000 its reverse (20010031323), we get a palindrome (32333011033323).

The spelling of 32313001002000 in words is "thirty-two trillion, three hundred thirteen billion, one million, two thousand".