100133113031130 has 16 divisors (see below), whose sum is σ = 240319471274784. Its totient is φ = 26702163474960.

The previous prime is 100133113031101. The next prime is 100133113031131. The reversal of 100133113031130 is 31130311331001.

It is a junction number, because it is equal to n+sod(n) for n = 100133113031097 and 100133113031106.

It is not an unprimeable number, because it can be changed into a prime (100133113031131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1668885217156 + ... + 1668885217215.

It is an arithmetic number, because the mean of its divisors is an integer number (15019966954674).

Almost surely, 2^{100133113031130} is an apocalyptic number.

100133113031130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100133113031130 is an abundant number, since it is smaller than the sum of its proper divisors (140186358243654).

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

100133113031130 is a wasteful number, since it uses less digits than its factorization.

100133113031130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337770434381.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 100133113031130 its reverse (31130311331001), we get a palindrome (131263424362131).

The spelling of 100133113031130 in words is "one hundred trillion, one hundred thirty-three billion, one hundred thirteen million, thirty-one thousand, one hundred thirty".