213003033102321 has 32 divisors (see below), whose sum is σ = 359070048147456. Its totient is φ = 109092462528000.

The previous prime is 213003033102319. The next prime is 213003033102331. The reversal of 213003033102321 is 123201330300312.

It is not a de Polignac number, because 213003033102321 - 2¹ = 213003033102319 is a prime.

It is a super-2 number, since 2×213003033102321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213003033102291 and 213003033102300.

It is not an unprimeable number, because it can be changed into a prime (213003033102331) 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, 6493582560 + ... + 6493615361.

It is an arithmetic number, because the mean of its divisors is an integer number (11220939004608).

Almost surely, 2^{213003033102321} is an apocalyptic number.

213003033102321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213003033102321 is a deficient number, since it is larger than the sum of its proper divisors (146067015045135).

213003033102321 is a wasteful number, since it uses less digits than its factorization.

213003033102321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12987198013.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 213003033102321 its reverse (123201330300312), we get a palindrome (336204363402633).

The spelling of 213003033102321 in words is "two hundred thirteen trillion, three billion, thirty-three million, one hundred two thousand, three hundred twenty-one".