11631433201300 has 72 divisors (see below), whose sum is σ = 27539040013632. Its totient is φ = 4228956864000.

The previous prime is 11631433201259. The next prime is 11631433201309. The reversal of 11631433201300 is 310233413611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631433201309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6313329 + ... + 7944871.

It is an arithmetic number, because the mean of its divisors is an integer number (382486666856).

Almost surely, 2^{11631433201300} is an apocalyptic number.

11631433201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11631433201300 is an abundant number, since it is smaller than the sum of its proper divisors (15907606812332).

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

11631433201300 is a wasteful number, since it uses less digits than its factorization.

11631433201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638049 (or 1638042 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 11631433201300 its reverse (310233413611), we get a palindrome (11941666614911).

The spelling of 11631433201300 in words is "eleven trillion, six hundred thirty-one billion, four hundred thirty-three million, two hundred one thousand, three hundred".