201312232110000 has 900 divisors, whose sum is σ = 775308071081544. Its totient is φ = 48344140800000.

The previous prime is 201312232109977. The next prime is 201312232110001. The reversal of 201312232110000 is 11232213102.

201312232110000 is a `hidden beast` number, since 20 + 1 + 312 + 2 + 321 + 10 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×201312232110000² (a number of 29 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 (201312232110001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11334501120 + ... + 11334518880.

Almost surely, 2^{201312232110000} is an apocalyptic number.

201312232110000 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 201312232110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387654035540772).

201312232110000 is an abundant number, since it is smaller than the sum of its proper divisors (573995838971544).

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

201312232110000 is a wasteful number, since it uses less digits than its factorization.

201312232110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18020 (or 17889 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201312232110000 its reverse (11232213102), we get a palindrome (201323464323102).

The spelling of 201312232110000 in words is "two hundred one trillion, three hundred twelve billion, two hundred thirty-two million, one hundred ten thousand".