10133210133300 has 144 divisors (see below), whose sum is σ = 29889149472000. Its totient is φ = 2650077580800.

The previous prime is 10133210133269. The next prime is 10133210133307. The reversal of 10133210133300 is 333101233101.

It is a super-2 number, since 2×10133210133300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133210133307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096530 + ... + 4966070.

It is an arithmetic number, because the mean of its divisors is an integer number (207563538000).

Almost surely, 2^{10133210133300} is an apocalyptic number.

10133210133300 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 10133210133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944574736000).

10133210133300 is an abundant number, since it is smaller than the sum of its proper divisors (19755939338700).

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

10133210133300 is a wasteful number, since it uses less digits than its factorization.

10133210133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869786 (or 2869779 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10133210133300 its reverse (333101233101), we get a palindrome (10466311366401).

The spelling of 10133210133300 in words is "ten trillion, one hundred thirty-three billion, two hundred ten million, one hundred thirty-three thousand, three hundred".