13100003131213 has 32 divisors (see below), whose sum is σ = 14036833585152. Its totient is φ = 12195284428800.

The previous prime is 13100003131183. The next prime is 13100003131223. The reversal of 13100003131213 is 31213130000131.

It is a cyclic number.

It is not a de Polignac number, because 13100003131213 - 2¹³ = 13100003123021 is a prime.

It is a super-2 number, since 2×13100003131213² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100003131223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957525733 + ... + 957539413.

It is an arithmetic number, because the mean of its divisors is an integer number (438651049536).

Almost surely, 2^{13100003131213} is an apocalyptic number.

It is an amenable number.

13100003131213 is a deficient number, since it is larger than the sum of its proper divisors (936830453939).

13100003131213 is a wasteful number, since it uses less digits than its factorization.

13100003131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13100003131213 its reverse (31213130000131), we get a palindrome (44313133131344).

The spelling of 13100003131213 in words is "thirteen trillion, one hundred billion, three million, one hundred thirty-one thousand, two hundred thirteen".