233020012101300 has 432 divisors, whose sum is σ = 784773993249792. Its totient is φ = 57729622579200.

The previous prime is 233020012101277. The next prime is 233020012101323. The reversal of 233020012101300 is 3101210020332.

233020012101300 is a `hidden beast` number, since 2 + 330 + 20 + 0 + 1 + 2 + 10 + 1 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (233020012101277) and next prime (233020012101323).

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62353429 + ... + 65984771.

It is an arithmetic number, because the mean of its divisors is an integer number (1816606465856).

Almost surely, 2^{233020012101300} is an apocalyptic number.

233020012101300 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 233020012101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392386996624896).

233020012101300 is an abundant number, since it is smaller than the sum of its proper divisors (551753981148492).

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

233020012101300 is a wasteful number, since it uses less digits than its factorization.

233020012101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631488 (or 3631478 counting only the distinct ones).

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

Adding to 233020012101300 its reverse (3101210020332), we get a palindrome (236121222121632).

The spelling of 233020012101300 in words is "two hundred thirty-three trillion, twenty billion, twelve million, one hundred one thousand, three hundred".