13034400213 has 16 divisors (see below), whose sum is σ = 17962430976. Its totient is φ = 8398691520.

The previous prime is 13034400199. The next prime is 13034400217. The reversal of 13034400213 is 31200443031.

It is not a de Polignac number, because 13034400213 - 2⁸ = 13034399957 is a prime.

It is a super-3 number, since 3×13034400213³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13034400213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034400217) 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, 13806 + ... + 162047.

It is an arithmetic number, because the mean of its divisors is an integer number (1122651936).

Almost surely, 2^13034400213 is an apocalyptic number.

It is an amenable number.

13034400213 is a deficient number, since it is larger than the sum of its proper divisors (4928030763).

13034400213 is a wasteful number, since it uses less digits than its factorization.

13034400213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176684.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13034400213 its reverse (31200443031), we get a palindrome (44234843244).

The spelling of 13034400213 in words is "thirteen billion, thirty-four million, four hundred thousand, two hundred thirteen".