100213031001321 has 96 divisors (see below), whose sum is σ = 170142754728960. Its totient is φ = 55638046983168.

The previous prime is 100213031001241. The next prime is 100213031001323. The reversal of 100213031001321 is 123100130312001.

100213031001321 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 30 + 310 + 0 + 1 + 321 = 666.

It is not a de Polignac number, because 100213031001321 - 2¹⁵ = 100213030968553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213031001294 and 100213031001303.

It is not an unprimeable number, because it can be changed into a prime (100213031001323) 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, 5720239600 + ... + 5720257118.

It is an arithmetic number, because the mean of its divisors is an integer number (1772320361760).

Almost surely, 2^{100213031001321} is an apocalyptic number.

It is an amenable number.

100213031001321 is a deficient number, since it is larger than the sum of its proper divisors (69929723727639).

100213031001321 is a wasteful number, since it uses less digits than its factorization.

100213031001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20903 (or 20900 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100213031001321 its reverse (123100130312001), we get a palindrome (223313161313322).

The spelling of 100213031001321 in words is "one hundred trillion, two hundred thirteen billion, thirty-one million, one thousand, three hundred twenty-one".