31230133002000 has 360 divisors, whose sum is σ = 112967454504840. Its totient is φ = 8040857932800.

The previous prime is 31230133001993. The next prime is 31230133002007. The reversal of 31230133002000 is 20033103213.

31230133002000 is a `hidden beast` number, since 3 + 12 + 301 + 330 + 0 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31230133001993) and next prime (31230133002007).

It can be written as a sum of positive squares in 12 ways, for example, as 22776832610064 + 8453300391936 = 4772508^2 + 2907456^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (31230133002007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14106486 + ... + 16169514.

Almost surely, 2^{31230133002000} is an apocalyptic number.

31230133002000 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 31230133002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56483727252420).

31230133002000 is an abundant number, since it is smaller than the sum of its proper divisors (81737321502840).

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

31230133002000 is a wasteful number, since it uses less digits than its factorization.

31230133002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063116 (or 2063068 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31230133002000 its reverse (20033103213), we get a palindrome (31250166105213).

The spelling of 31230133002000 in words is "thirty-one trillion, two hundred thirty billion, one hundred thirty-three million, two thousand".