10211440312013 has 16 divisors (see below), whose sum is σ = 10316037305280. Its totient is φ = 10107296640000.

The previous prime is 10211440311991. The next prime is 10211440312057. The reversal of 10211440312013 is 31021304411201.

10211440312013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10211440312013 - 2²² = 10211436117709 is a prime.

It is a super-2 number, since 2×10211440312013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10211440312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211440312313) 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, 506484653 + ... + 506504813.

It is an arithmetic number, because the mean of its divisors is an integer number (644752331580).

Almost surely, 2^{10211440312013} is an apocalyptic number.

It is an amenable number.

10211440312013 is a deficient number, since it is larger than the sum of its proper divisors (104596993267).

10211440312013 is a wasteful number, since it uses less digits than its factorization.

10211440312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31148.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10211440312013 its reverse (31021304411201), we get a palindrome (41232744723214).

The spelling of 10211440312013 in words is "ten trillion, two hundred eleven billion, four hundred forty million, three hundred twelve thousand, thirteen".