100213010031321 has 16 divisors (see below), whose sum is σ = 161960420253120. Its totient is φ = 60735157594560.

The previous prime is 100213010031283. The next prime is 100213010031347. The reversal of 100213010031321 is 123130010312001.

100213010031321 is a `hidden beast` number, since 1 + 0 + 0 + 213 + 0 + 100 + 31 + 321 = 666.

It is not a de Polignac number, because 100213010031321 - 2¹¹ = 100213010029273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213010031294 and 100213010031303.

It is not an unprimeable number, because it can be changed into a prime (100213010031521) 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, 168708770800 + ... + 168708771393.

It is an arithmetic number, because the mean of its divisors is an integer number (10122526265820).

Almost surely, 2^{100213010031321} is an apocalyptic number.

100213010031321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100213010031321 is a deficient number, since it is larger than the sum of its proper divisors (61747410221799).

100213010031321 is a wasteful number, since it uses less digits than its factorization.

100213010031321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337417542213 (or 337417542207 counting only the distinct ones).

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

Adding to 100213010031321 its reverse (123130010312001), we get a palindrome (223343020343322).

The spelling of 100213010031321 in words is "one hundred trillion, two hundred thirteen billion, ten million, thirty-one thousand, three hundred twenty-one".