233113102020000 has 360 divisors, whose sum is σ = 829077699786336. Its totient is φ = 62111066688000.

The previous prime is 233113102019953. The next prime is 233113102020011. The reversal of 233113102020000 is 20201311332.

233113102020000 is a `hidden beast` number, since 2 + 3 + 311 + 310 + 20 + 20 + 0 + 0 + 0 = 666.

233113102020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 213114477 + ... + 214205523.

Almost surely, 2^{233113102020000} is an apocalyptic number.

233113102020000 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 233113102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414538849893168).

233113102020000 is an abundant number, since it is smaller than the sum of its proper divisors (595964597766336).

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

233113102020000 is a wasteful number, since it uses less digits than its factorization.

233113102020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092270 (or 1092244 counting only the distinct ones).

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

Adding to 233113102020000 its reverse (20201311332), we get a palindrome (233133303331332).

The spelling of 233113102020000 in words is "two hundred thirty-three trillion, one hundred thirteen billion, one hundred two million, twenty thousand".