100142002431133 has 32 divisors (see below), whose sum is σ = 108156499476480. Its totient is φ = 92172489416640.

The previous prime is 100142002431091. The next prime is 100142002431161. The reversal of 100142002431133 is 331134200241001.

It is a cyclic number.

It is not a de Polignac number, because 100142002431133 - 2³³ = 100133412496541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100142002431098 and 100142002431107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142002411133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24991763016 + ... + 24991767022.

It is an arithmetic number, because the mean of its divisors is an integer number (3379890608640).

Almost surely, 2^{100142002431133} is an apocalyptic number.

100142002431133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100142002431133 is a deficient number, since it is larger than the sum of its proper divisors (8014497045347).

100142002431133 is a wasteful number, since it uses less digits than its factorization.

100142002431133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 100142002431133 its reverse (331134200241001), we get a palindrome (431276202672134).

The spelling of 100142002431133 in words is "one hundred trillion, one hundred forty-two billion, two million, four hundred thirty-one thousand, one hundred thirty-three".