10233133402410 has 128 divisors (see below), whose sum is σ = 27412829533440. Its totient is φ = 2716391964672.

The previous prime is 10233133402277. The next prime is 10233133402433. The reversal of 10233133402410 is 1420433133201.

It is a happy number.

10233133402410 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 313 + 340 + 2 + 4 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 721805242 + ... + 721819418.

It is an arithmetic number, because the mean of its divisors is an integer number (214162730730).

Almost surely, 2^{10233133402410} is an apocalyptic number.

10233133402410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233133402410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706414766720).

10233133402410 is an abundant number, since it is smaller than the sum of its proper divisors (17179696131030).

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

10233133402410 is a wasteful number, since it uses less digits than its factorization.

10233133402410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26197 (or 26191 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10233133402410 its reverse (1420433133201), we get a palindrome (11653566535611).

The spelling of 10233133402410 in words is "ten trillion, two hundred thirty-three billion, one hundred thirty-three million, four hundred two thousand, four hundred ten".