231000102000 has 480 divisors, whose sum is σ = 834462555264. Its totient is φ = 59512320000.

The previous prime is 231000101999. The next prime is 231000102013. The reversal of 231000102000 is 201000132.

It is a happy number.

231000102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×231000102000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100564852 + ... + 100567148.

Almost surely, 2^231000102000 is an apocalyptic number.

231000102000 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 231000102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417231277632).

231000102000 is an abundant number, since it is smaller than the sum of its proper divisors (603462453264).

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

231000102000 is a wasteful number, since it uses less digits than its factorization.

231000102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 231000102000 its reverse (201000132), we get a palindrome (231201102132).

The spelling of 231000102000 in words is "two hundred thirty-one billion, one hundred two thousand".