100112131333 has 16 divisors (see below), whose sum is σ = 101540355840. Its totient is φ = 98696145600.

The previous prime is 100112131289. The next prime is 100112131381. The reversal of 100112131333 is 333131211001.

It is a cyclic number.

It is not a de Polignac number, because 100112131333 - 2²¹ = 100110034181 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100112131333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112131033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12928843 + ... + 12936583.

It is an arithmetic number, because the mean of its divisors is an integer number (6346272240).

Almost surely, 2^100112131333 is an apocalyptic number.

It is an amenable number.

100112131333 is a deficient number, since it is larger than the sum of its proper divisors (1428224507).

100112131333 is a wasteful number, since it uses less digits than its factorization.

100112131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100112131333 its reverse (333131211001), we get a palindrome (433243342334).

The spelling of 100112131333 in words is "one hundred billion, one hundred twelve million, one hundred thirty-one thousand, three hundred thirty-three".