231000133302000 has 1920 divisors, whose sum is σ = 871300688544000. Its totient is φ = 56924201779200.

The previous prime is 231000133301999. The next prime is 231000133302061. The reversal of 231000133302000 is 203331000132.

231000133302000 is a `hidden beast` number, since 2 + 310 + 0 + 0 + 1 + 3 + 330 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×231000133302000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 376835453694 + ... + 376835454306.

It is an arithmetic number, because the mean of its divisors is an integer number (453802441950).

Almost surely, 2^{231000133302000} is an apocalyptic number.

231000133302000 is a gapful number since it is divisible by the number (20) 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 231000133302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435650344272000).

231000133302000 is an abundant number, since it is smaller than the sum of its proper divisors (640300555242000).

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

231000133302000 is a wasteful number, since it uses less digits than its factorization.

231000133302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 977 counting only the distinct ones).

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

Adding to 231000133302000 its reverse (203331000132), we get a palindrome (231203464302132).

The spelling of 231000133302000 in words is "two hundred thirty-one trillion, one hundred thirty-three million, three hundred two thousand".