1333013100240 has 320 divisors, whose sum is σ = 4283815818240. Its totient is φ = 342673182720.

The previous prime is 1333013100239. The next prime is 1333013100247. The reversal of 1333013100240 is 420013103331.

It is a super-2 number, since 2×1333013100240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333013100247) 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, 287099359 + ... + 287104001.

It is an arithmetic number, because the mean of its divisors is an integer number (13386924432).

Almost surely, 2^{1333013100240} is an apocalyptic number.

1333013100240 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 1333013100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141907909120).

1333013100240 is an abundant number, since it is smaller than the sum of its proper divisors (2950802718000).

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

1333013100240 is a wasteful number, since it uses less digits than its factorization.

1333013100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1333013100240 its reverse (420013103331), we get a palindrome (1753026203571).

The spelling of 1333013100240 in words is "one trillion, three hundred thirty-three billion, thirteen million, one hundred thousand, two hundred forty".