100231141133431 has 96 divisors (see below), whose sum is σ = 137558110360320. Its totient is φ = 71965592294400.

The previous prime is 100231141133413. The next prime is 100231141133491. The reversal of 100231141133431 is 134331141132001.

It is not a de Polignac number, because 100231141133431 - 2¹¹ = 100231141131383 is a prime.

It is a super-4 number, since 4×100231141133431⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100231141133431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100231141133491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1073425176 + ... + 1073518546.

It is an arithmetic number, because the mean of its divisors is an integer number (1432896982920).

Almost surely, 2^{100231141133431} is an apocalyptic number.

100231141133431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100231141133431 is a deficient number, since it is larger than the sum of its proper divisors (37326969226889).

100231141133431 is a wasteful number, since it uses less digits than its factorization.

100231141133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96285 (or 96278 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 100231141133431 its reverse (134331141132001), we get a palindrome (234562282265432).

The spelling of 100231141133431 in words is "one hundred trillion, two hundred thirty-one billion, one hundred forty-one million, one hundred thirty-three thousand, four hundred thirty-one".