11731188104100 has 144 divisors (see below), whose sum is σ = 39353319143040. Its totient is φ = 2992303036800.

The previous prime is 11731188104089. The next prime is 11731188104117. The reversal of 11731188104100 is 140188113711.

It is a happy number.

11731188104100 is a `hidden beast` number, since 117 + 3 + 118 + 8 + 10 + 410 + 0 = 666.

11731188104100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94391911 + ... + 94516110.

Almost surely, 2^{11731188104100} is an apocalyptic number.

11731188104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11731188104100 is an abundant number, since it is smaller than the sum of its proper divisors (27622131038940).

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

11731188104100 is a wasteful number, since it uses less digits than its factorization.

11731188104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188908067 (or 188908054 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

The spelling of 11731188104100 in words is "eleven trillion, seven hundred thirty-one billion, one hundred eighty-eight million, one hundred four thousand, one hundred".