100133120243431 has 16 divisors (see below), whose sum is σ = 111599546162688. Its totient is φ = 89061959392000.

The previous prime is 100133120243419. The next prime is 100133120243437. The reversal of 100133120243431 is 134342021331001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100133120243431 is a prime.

It is a super-2 number, since 2×100133120243431² (a number of 29 digits) contains 22 as substring.

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 100133120243431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133120243437) 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, 32592970 + ... + 35532631.

It is an arithmetic number, because the mean of its divisors is an integer number (6974971635168).

Almost surely, 2^{100133120243431} is an apocalyptic number.

100133120243431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100133120243431 is a deficient number, since it is larger than the sum of its proper divisors (11466425919257).

100133120243431 is a wasteful number, since it uses less digits than its factorization.

100133120243431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68128502.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 100133120243431 its reverse (134342021331001), we get a palindrome (234475141574432).

The spelling of 100133120243431 in words is "one hundred trillion, one hundred thirty-three billion, one hundred twenty million, two hundred forty-three thousand, four hundred thirty-one".