1013332213440 has 560 divisors, whose sum is σ = 3792462990624. Its totient is φ = 256496025600.

The previous prime is 1013332213433. The next prime is 1013332213463. The reversal of 1013332213440 is 443122333101.

It is a happy number.

1013332213440 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 3 + 2 + 213 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39307755 + ... + 39333525.

Almost surely, 2^{1013332213440} is an apocalyptic number.

1013332213440 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 1013332213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896231495312).

1013332213440 is an abundant number, since it is smaller than the sum of its proper divisors (2779130777184).

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

1013332213440 is a wasteful number, since it uses less digits than its factorization.

1013332213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25878 (or 25859 counting only the distinct ones).

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

Adding to 1013332213440 its reverse (443122333101), we get a palindrome (1456454546541).

The spelling of 1013332213440 in words is "one trillion, thirteen billion, three hundred thirty-two million, two hundred thirteen thousand, four hundred forty".