10133412012200 has 48 divisors (see below), whose sum is σ = 23560393569180. Its totient is φ = 4053328565760.

The previous prime is 10133412012187. The next prime is 10133412012211. The reversal of 10133412012200 is 221021433101.

It can be written as a sum of positive squares in 6 ways, for example, as 358372244164 + 9775039768036 = 598642^2 + 3126506^2 .

It is a super-5 number, since 5×10133412012200⁵ (a number of 66 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40141574 + ... + 40393226.

Almost surely, 2^{10133412012200} is an apocalyptic number.

10133412012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133412012200 is an abundant number, since it is smaller than the sum of its proper divisors (13426981556980).

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

10133412012200 is a wasteful number, since it uses less digits than its factorization.

10133412012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453006 (or 452997 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10133412012200 its reverse (221021433101), we get a palindrome (10354433445301).

The spelling of 10133412012200 in words is "ten trillion, one hundred thirty-three billion, four hundred twelve million, twelve thousand, two hundred".