10233201315540 has 192 divisors, whose sum is σ = 32971225996800. Its totient is φ = 2322952304640.

The previous prime is 10233201315479. The next prime is 10233201315541. The reversal of 10233201315540 is 4551310233201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10233201315498 and 10233201315507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233201315541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 694192570 + ... + 694207310.

It is an arithmetic number, because the mean of its divisors is an integer number (171725135400).

Almost surely, 2^{10233201315540} is an apocalyptic number.

10233201315540 is a gapful number since it is divisible by the number (10) 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 10233201315540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485612998400).

10233201315540 is an abundant number, since it is smaller than the sum of its proper divisors (22738024681260).

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

10233201315540 is a wasteful number, since it uses less digits than its factorization.

10233201315540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26002 (or 26000 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 10233201315540 its reverse (4551310233201), we get a palindrome (14784511548741).

The spelling of 10233201315540 in words is "ten trillion, two hundred thirty-three billion, two hundred one million, three hundred fifteen thousand, five hundred forty".