1033013313240 has 128 divisors (see below), whose sum is σ = 3162615192000. Its totient is φ = 269875888128.

The previous prime is 1033013313229. The next prime is 1033013313247. The reversal of 1033013313240 is 423133103301.

It is a happy number.

It is a super-3 number, since 3×1033013313240³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1033013313240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033013313247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720432 + ... + 1607808.

Almost surely, 2^{1033013313240} is an apocalyptic number.

1033013313240 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 1033013313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581307596000).

1033013313240 is an abundant number, since it is smaller than the sum of its proper divisors (2129601878760).

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

1033013313240 is a wasteful number, since it uses less digits than its factorization.

1033013313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887589 (or 887585 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1033013313240 its reverse (423133103301), we get a palindrome (1456146416541).

The spelling of 1033013313240 in words is "one trillion, thirty-three billion, thirteen million, three hundred thirteen thousand, two hundred forty".