13332343313040 has 160 divisors (see below), whose sum is σ = 42036168620160. Its totient is φ = 3494584061952.

The previous prime is 13332343313021. The next prime is 13332343313057. The reversal of 13332343313040 is 4031334323331.

It is a junction number, because it is equal to n+sod(n) for n = 13332343312992 and 13332343313010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118562122 + ... + 118674518.

It is an arithmetic number, because the mean of its divisors is an integer number (262726053876).

Almost surely, 2^{13332343313040} is an apocalyptic number.

13332343313040 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 13332343313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018084310080).

13332343313040 is an abundant number, since it is smaller than the sum of its proper divisors (28703825307120).

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

13332343313040 is a wasteful number, since it uses less digits than its factorization.

13332343313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120849 (or 120843 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 13332343313040 its reverse (4031334323331), we get a palindrome (17363677636371).

The spelling of 13332343313040 in words is "thirteen trillion, three hundred thirty-two billion, three hundred forty-three million, three hundred thirteen thousand, forty".