21000001311003 has 72 divisors (see below), whose sum is σ = 34775401199616. Its totient is φ = 11237458140480.

The previous prime is 21000001311001. The next prime is 21000001311011. The reversal of 21000001311003 is 30011310000012.

It is not a de Polignac number, because 21000001311003 - 2¹ = 21000001311001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21000001311003.

It is not an unprimeable number, because it can be changed into a prime (21000001311001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6030651 + ... + 8852612.

It is an arithmetic number, because the mean of its divisors is an integer number (482991683328).

Almost surely, 2^{21000001311003} is an apocalyptic number.

21000001311003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

21000001311003 is a deficient number, since it is larger than the sum of its proper divisors (13775399888613).

21000001311003 is a wasteful number, since it uses less digits than its factorization.

21000001311003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14883337 (or 14883313 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 21000001311003 its reverse (30011310000012), we get a palindrome (51011311311015).

The spelling of 21000001311003 in words is "twenty-one trillion, one million, three hundred eleven thousand, three".