113211133101000 has 192 divisors, whose sum is σ = 417440323872000. Its totient is φ = 27445123152000.

The previous prime is 113211133100987. The next prime is 113211133101007. The reversal of 113211133101000 is 101331112311.

113211133101000 is a `hidden beast` number, since 1 + 1 + 321 + 1 + 1 + 331 + 0 + 10 + 0 + 0 = 666.

It is a super-3 number, since 3×113211133101000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113211133101007) 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, 571674400 + ... + 571872399.

It is an arithmetic number, because the mean of its divisors is an integer number (2174168353500).

Almost surely, 2^{113211133101000} is an apocalyptic number.

113211133101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113211133101000 is an abundant number, since it is smaller than the sum of its proper divisors (304229190771000).

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

113211133101000 is a wasteful number, since it uses less digits than its factorization.

113211133101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143546837 (or 1143546820 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113211133101000 its reverse (101331112311), we get a palindrome (113312464213311).

The spelling of 113211133101000 in words is "one hundred thirteen trillion, two hundred eleven billion, one hundred thirty-three million, one hundred one thousand".