13332313212400 has 240 divisors, whose sum is σ = 39431615215104. Its totient is φ = 4218495114240.

The previous prime is 13332313212373. The next prime is 13332313212437. The reversal of 13332313212400 is 421231323331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168965757 + ... + 169044643.

Almost surely, 2^{13332313212400} is an apocalyptic number.

13332313212400 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 13332313212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19715807607552).

13332313212400 is an abundant number, since it is smaller than the sum of its proper divisors (26099302002704).

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

13332313212400 is a wasteful number, since it uses less digits than its factorization.

13332313212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83568 (or 83557 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13332313212400 its reverse (421231323331), we get a palindrome (13753544535731).

The spelling of 13332313212400 in words is "thirteen trillion, three hundred thirty-two billion, three hundred thirteen million, two hundred twelve thousand, four hundred".