2313232002000 has 120 divisors (see below), whose sum is σ = 8079348368520. Its totient is φ = 616861862400.

The previous prime is 2313232001987. The next prime is 2313232002031. The reversal of 2313232002000 is 2002323132.

It is a happy number.

2313232002000 is a `hidden beast` number, since 231 + 3 + 232 + 0 + 0 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 504088640064 + 1809143361936 = 709992^2 + 1345044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 64238445 + ... + 64274444.

It is an arithmetic number, because the mean of its divisors is an integer number (67327903071).

Almost surely, 2^{2313232002000} is an apocalyptic number.

2313232002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313232002000 is an abundant number, since it is smaller than the sum of its proper divisors (5766116366520).

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

2313232002000 is a wasteful number, since it uses less digits than its factorization.

2313232002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128512918 (or 128512899 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2313232002000 its reverse (2002323132), we get a palindrome (2315234325132).

The spelling of 2313232002000 in words is "two trillion, three hundred thirteen billion, two hundred thirty-two million, two thousand".