13233111320100 has 288 divisors, whose sum is σ = 44948320623360. Its totient is φ = 2942425405440.

The previous prime is 13233111320081. The next prime is 13233111320101. The reversal of 13233111320100 is 102311133231.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13233111320101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 552357322 + ... + 552381278.

It is an arithmetic number, because the mean of its divisors is an integer number (156070557720).

Almost surely, 2^{13233111320100} is an apocalyptic number.

13233111320100 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 13233111320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22474160311680).

13233111320100 is an abundant number, since it is smaller than the sum of its proper divisors (31715209303260).

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

13233111320100 is a wasteful number, since it uses less digits than its factorization.

13233111320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31127 (or 31120 counting only the distinct ones).

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

Adding to 13233111320100 its reverse (102311133231), we get a palindrome (13335422453331).

The spelling of 13233111320100 in words is "thirteen trillion, two hundred thirty-three billion, one hundred eleven million, three hundred twenty thousand, one hundred".