11132300131290 has 240 divisors, whose sum is σ = 32436470266200. Its totient is φ = 2738292770304.

The previous prime is 11132300131289. The next prime is 11132300131333. The reversal of 11132300131290 is 9213100323111.

11132300131290 is a `hidden beast` number, since 1 + 1 + 13 + 230 + 0 + 131 + 290 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2322676585089 + 8809623546201 = 1524033^2 + 2968101^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 195587356 + ... + 195644264.

Almost surely, 2^{11132300131290} is an apocalyptic number.

11132300131290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132300131290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218235133100).

11132300131290 is an abundant number, since it is smaller than the sum of its proper divisors (21304170134910).

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

11132300131290 is a wasteful number, since it uses less digits than its factorization.

11132300131290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58383 (or 58361 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11132300131290 in words is "eleven trillion, one hundred thirty-two billion, three hundred million, one hundred thirty-one thousand, two hundred ninety".