13331121012300 has 576 divisors, whose sum is σ = 48788518446080. Its totient is φ = 2734847815680.

The previous prime is 13331121012281. The next prime is 13331121012401. The reversal of 13331121012300 is 321012113331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1885853166 + ... + 1885860234.

Almost surely, 2^{13331121012300} is an apocalyptic number.

13331121012300 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 13331121012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24394259223040).

13331121012300 is an abundant number, since it is smaller than the sum of its proper divisors (35457397433780).

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

13331121012300 is a wasteful number, since it uses less digits than its factorization.

13331121012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13331121012300 its reverse (321012113331), we get a palindrome (13652133125631).

The spelling of 13331121012300 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty-one million, twelve thousand, three hundred".