100213010032023 has 64 divisors (see below), whose sum is σ = 179258153472000. Its totient is φ = 54113554801152.

The previous prime is 100213010032001. The next prime is 100213010032033. The reversal of 100213010032023 is 320230010312001.

100213010032023 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 301 + 0 + 0 + 320 + 23 = 666.

It is not a de Polignac number, because 100213010032023 - 2³⁰ = 100211936290199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213010031987 and 100213010032005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213010032033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194249938 + ... + 194765151.

It is an arithmetic number, because the mean of its divisors is an integer number (2800908648000).

Almost surely, 2^{100213010032023} is an apocalyptic number.

100213010032023 is a deficient number, since it is larger than the sum of its proper divisors (79045143439977).

100213010032023 is a wasteful number, since it uses less digits than its factorization.

100213010032023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389015181 (or 389015175 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100213010032023 its reverse (320230010312001), we get a palindrome (420443020344024).

The spelling of 100213010032023 in words is "one hundred trillion, two hundred thirteen billion, ten million, thirty-two thousand, twenty-three".