10103211201213 has 12 divisors (see below), whose sum is σ = 15716106313180. Its totient is φ = 6217360739136.

The previous prime is 10103211201173. The next prime is 10103211201229. The reversal of 10103211201213 is 31210211230101.

10103211201213 is a `hidden beast` number, since 1 + 0 + 10 + 321 + 120 + 1 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4336210675449 + 5767000525764 = 2082357^2 + 2401458^2 .

It is not a de Polignac number, because 10103211201213 - 2¹³ = 10103211193021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103211201253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43176116128 + ... + 43176116361.

Almost surely, 2^{10103211201213} is an apocalyptic number.

10103211201213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10103211201213 is a deficient number, since it is larger than the sum of its proper divisors (5612895111967).

10103211201213 is a wasteful number, since it uses less digits than its factorization.

10103211201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86352232508 (or 86352232505 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10103211201213 its reverse (31210211230101), we get a palindrome (41313422431314).

The spelling of 10103211201213 in words is "ten trillion, one hundred three billion, two hundred eleven million, two hundred one thousand, two hundred thirteen".