11631073300 has 144 divisors (see below), whose sum is σ = 31534981632. Its totient is φ = 3617481600.

The previous prime is 11631073291. The next prime is 11631073301. The reversal of 11631073300 is 337013611.

It is a super-2 number, since 2×11631073300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631073301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4333759 + ... + 4336441.

It is an arithmetic number, because the mean of its divisors is an integer number (218992928).

Almost surely, 2^11631073300 is an apocalyptic number.

11631073300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11631073300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767490816).

11631073300 is an abundant number, since it is smaller than the sum of its proper divisors (19903908332).

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

11631073300 is a wasteful number, since it uses less digits than its factorization.

11631073300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 11631073300 its reverse (337013611), we get a palindrome (11968086911).

The spelling of 11631073300 in words is "eleven billion, six hundred thirty-one million, seventy-three thousand, three hundred".