10133462556100 has 243 divisors, whose sum is σ = 24375425518101. Its totient is φ = 3654949209600.

The previous prime is 10133462556083. The next prime is 10133462556101. The reversal of 10133462556100 is 165526433101.

The square root of 10133462556100 is 3183310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 10122693097924 + 10769458176 = 3181618^2 + 103776^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10133462556100.

It is not an unprimeable number, because it can be changed into a prime (10133462556101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19450023840 + ... + 19450024360.

Almost surely, 2^{10133462556100} is an apocalyptic number.

10133462556100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10133462556100 is the 3183310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133462556100

10133462556100 is an abundant number, since it is smaller than the sum of its proper divisors (14241962962001).

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

10133462556100 is an equidigital number, since it uses as much as digits as its factorization.

10133462556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 10133462556100 its reverse (165526433101), we get a palindrome (10298988989201).

The spelling of 10133462556100 in words is "ten trillion, one hundred thirty-three billion, four hundred sixty-two million, five hundred fifty-six thousand, one hundred".