230031001132002 has 288 divisors, whose sum is σ = 611623352770560. Its totient is φ = 61189574653440.

The previous prime is 230031001131959. The next prime is 230031001132003. The reversal of 230031001132002 is 200231100130032.

230031001132002 is a `hidden beast` number, since 2 + 30 + 0 + 310 + 0 + 1 + 1 + 320 + 0 + 2 = 666.

It is a super-2 number, since 2×230031001132002² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (230031001132003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2692299199 + ... + 2692384637.

It is an arithmetic number, because the mean of its divisors is an integer number (2123692197120).

Almost surely, 2^{230031001132002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230031001132002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305811676385280).

230031001132002 is an abundant number, since it is smaller than the sum of its proper divisors (381592351638558).

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

230031001132002 is a wasteful number, since it uses less digits than its factorization.

230031001132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86286 (or 86266 counting only the distinct ones).

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

Adding to 230031001132002 its reverse (200231100130032), we get a palindrome (430262101262034).

The spelling of 230031001132002 in words is "two hundred thirty trillion, thirty-one billion, one million, one hundred thirty-two thousand, two".