13402003033320 has 256 divisors, whose sum is σ = 43945652736000. Its totient is φ = 3242712960000.

The previous prime is 13402003033303. The next prime is 13402003033327. The reversal of 13402003033320 is 2333030020431.

It is a happy number.

It is a super-2 number, since 2×13402003033320² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13402003033327) 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, 2368260651 + ... + 2368266309.

It is an arithmetic number, because the mean of its divisors is an integer number (171662706000).

Almost surely, 2^{13402003033320} is an apocalyptic number.

13402003033320 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 13402003033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21972826368000).

13402003033320 is an abundant number, since it is smaller than the sum of its proper divisors (30543649702680).

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

13402003033320 is a wasteful number, since it uses less digits than its factorization.

13402003033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 13402003033320 its reverse (2333030020431), we get a palindrome (15735033053751).

The spelling of 13402003033320 in words is "thirteen trillion, four hundred two billion, three million, thirty-three thousand, three hundred twenty".