13213121100311 has 8 divisors (see below), whose sum is σ = 14414740678800. Its totient is φ = 12011572647040.

The previous prime is 13213121100253. The next prime is 13213121100337. The reversal of 13213121100311 is 11300112131231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13213121100311 - 2³⁴ = 13195941231127 is a prime.

It is a super-2 number, since 2×13213121100311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213121108311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17392496 + ... + 18136293.

It is an arithmetic number, because the mean of its divisors is an integer number (1801842584850).

Almost surely, 2^{13213121100311} is an apocalyptic number.

13213121100311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13213121100311 is a deficient number, since it is larger than the sum of its proper divisors (1201619578489).

13213121100311 is a wasteful number, since it uses less digits than its factorization.

13213121100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35562609.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 13213121100311 its reverse (11300112131231), we get a palindrome (24513233231542).

The spelling of 13213121100311 in words is "thirteen trillion, two hundred thirteen billion, one hundred twenty-one million, one hundred thousand, three hundred eleven".