10100210133133 has 16 divisors (see below), whose sum is σ = 11122838173440. Its totient is φ = 9136617004800.

The previous prime is 10100210133119. The next prime is 10100210133151. The reversal of 10100210133133 is 33133101200101.

It is not a de Polignac number, because 10100210133133 - 2³⁷ = 9962771179661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 10100210133133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100210133113) 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, 137895408 + ... + 137968633.

It is an arithmetic number, because the mean of its divisors is an integer number (695177385840).

Almost surely, 2^{10100210133133} is an apocalyptic number.

It is an amenable number.

10100210133133 is a deficient number, since it is larger than the sum of its proper divisors (1022628040307).

10100210133133 is a wasteful number, since it uses less digits than its factorization.

10100210133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275864148.

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

Adding to 10100210133133 its reverse (33133101200101), we get a palindrome (43233311333234).

The spelling of 10100210133133 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred thirty-three thousand, one hundred thirty-three".