10133411401300 has 144 divisors (see below), whose sum is σ = 24512271114240. Its totient is φ = 3604513264000.

The previous prime is 10133411401231. The next prime is 10133411401307. The reversal of 10133411401300 is 310411433101.

10133411401300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133411401307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96678321 + ... + 96783079.

It is an arithmetic number, because the mean of its divisors is an integer number (170224104960).

Almost surely, 2^{10133411401300} is an apocalyptic number.

10133411401300 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 10133411401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12256135557120).

10133411401300 is an abundant number, since it is smaller than the sum of its proper divisors (14378859712940).

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

10133411401300 is a wasteful number, since it uses less digits than its factorization.

10133411401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106702 (or 106695 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10133411401300 its reverse (310411433101), we get a palindrome (10443822834401).

The spelling of 10133411401300 in words is "ten trillion, one hundred thirty-three billion, four hundred eleven million, four hundred one thousand, three hundred".