100133323131 has 16 divisors (see below), whose sum is σ = 133861923360. Its totient is φ = 66580362240.

The previous prime is 100133323111. The next prime is 100133323133. The reversal of 100133323131 is 131323331001.

It is not a de Polignac number, because 100133323131 - 2¹¹ = 100133321083 is a prime.

It is a super-2 number, since 2×100133323131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100133323098 and 100133323107.

It is not an unprimeable number, because it can be changed into a prime (100133323133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792401 + ... + 1847421.

It is an arithmetic number, because the mean of its divisors is an integer number (8366370210).

Almost surely, 2^100133323131 is an apocalyptic number.

100133323131 is a deficient number, since it is larger than the sum of its proper divisors (33728600229).

100133323131 is an equidigital number, since it uses as much as digits as its factorization.

100133323131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56606.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 100133323131 its reverse (131323331001), we get a palindrome (231456654132).

The spelling of 100133323131 in words is "one hundred billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred thirty-one".