100133111313110 has 64 divisors (see below), whose sum is σ = 182651474880000. Its totient is φ = 39519820170240.

The previous prime is 100133111313101. The next prime is 100133111313227. The reversal of 100133111313110 is 11313111331001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2524068575 + ... + 2524108245.

It is an arithmetic number, because the mean of its divisors is an integer number (2853929295000).

Almost surely, 2^{100133111313110} is an apocalyptic number.

100133111313110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100133111313110 is a deficient number, since it is larger than the sum of its proper divisors (82518363566890).

100133111313110 is a wasteful number, since it uses less digits than its factorization.

100133111313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47621.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 100133111313110 its reverse (11313111331001), we get a palindrome (111446222644111).

The spelling of 100133111313110 in words is "one hundred trillion, one hundred thirty-three billion, one hundred eleven million, three hundred thirteen thousand, one hundred ten".