1133138960100 has 729 divisors, whose sum is σ = 4277545752753. Its totient is φ = 250163665920.

The previous prime is 1133138960089. The next prime is 1133138960101. The reversal of 1133138960100 is 10698313311.

The square root of 1133138960100 is 1064490.

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

1133138960100 is a `hidden beast` number, since 1 + 1 + 33 + 13 + 8 + 9 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 159301563876 + 973837396224 = 399126^2 + 986832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1133138960101) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 8271087232 + ... + 8271087368.

Almost surely, 2^{1133138960100} is an apocalyptic number.

1133138960100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1133138960100 is the 1064490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133138960100

1133138960100 is an abundant number, since it is smaller than the sum of its proper divisors (3144406792653).

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

1133138960100 is a wasteful number, since it uses less digits than its factorization.

1133138960100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 1133138960100 by its sum of digits (36), we get a square (40793002563600 = 6386940²).

1133138960100 divided by its sum of digits (36) gives a square (31476082225 = 177415²).

The spelling of 1133138960100 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-eight million, nine hundred sixty thousand, one hundred".